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Finding the Fourth Proportional to 273,538.70, 410,269.65 and 86,569.10

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Solution

The fourth proportional to 273,538.70, 410,269.65 and 86,569.10 is: 129,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,538.70 : 410,269.65 = 86,569.10 : x
  2. Step 2: Convert to fraction form
    273,538.70/410,269.65 = 86,569.10/x
  3. Step 3: Cross multiply
    273,538.70x = 410,269.65 × 86,569.10
  4. Step 4: Simplify right side
    273,538.70x = 35,516,674,357.82
  5. Step 5: Solve for x
    x = 35,516,674,357.82/273,538.70
  6. Step 6: Final answer
    x = 129,841.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.