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Finding the Fourth Proportional to 209,603.94, 289,445.60 and 133,147.78

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Solution

The fourth proportional to 209,603.94, 289,445.60 and 133,147.78 is: 183,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,603.94 : 289,445.60 = 133,147.78 : x
  2. Step 2: Convert to fraction form
    209,603.94/289,445.60 = 133,147.78/x
  3. Step 3: Cross multiply
    209,603.94x = 289,445.60 × 133,147.78
  4. Step 4: Simplify right side
    209,603.94x = 38,539,039,070.77
  5. Step 5: Solve for x
    x = 38,539,039,070.77/209,603.94
  6. Step 6: Final answer
    x = 183,866.00

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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.