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Finding the Fourth Proportional to 209,316.66, 288,821.94 and 123,292.77

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Solution

The fourth proportional to 209,316.66, 288,821.94 and 123,292.77 is: 170,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,316.66 : 288,821.94 = 123,292.77 : x
  2. Step 2: Convert to fraction form
    209,316.66/288,821.94 = 123,292.77/x
  3. Step 3: Cross multiply
    209,316.66x = 288,821.94 × 123,292.77
  4. Step 4: Simplify right side
    209,316.66x = 35,609,657,019.37
  5. Step 5: Solve for x
    x = 35,609,657,019.37/209,316.66
  6. Step 6: Final answer
    x = 170,123.38

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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.