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Finding the Fourth Proportional to 209,603.81, 289,290.98 and 123,557.66

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Solution

The fourth proportional to 209,603.81, 289,290.98 and 123,557.66 is: 170,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,603.81 : 289,290.98 = 123,557.66 : x
  2. Step 2: Convert to fraction form
    209,603.81/289,290.98 = 123,557.66/x
  3. Step 3: Cross multiply
    209,603.81x = 289,290.98 × 123,557.66
  4. Step 4: Simplify right side
    209,603.81x = 35,744,117,580.03
  5. Step 5: Solve for x
    x = 35,744,117,580.03/209,603.81
  6. Step 6: Final answer
    x = 170,531.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.