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Finding the Fourth Proportional to 273,235.68, 409,854.53 and 83,695.28

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Solution

The fourth proportional to 273,235.68, 409,854.53 and 83,695.28 is: 125,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,235.68 : 409,854.53 = 83,695.28 : x
  2. Step 2: Convert to fraction form
    273,235.68/409,854.53 = 83,695.28/x
  3. Step 3: Cross multiply
    273,235.68x = 409,854.53 × 83,695.28
  4. Step 4: Simplify right side
    273,235.68x = 34,302,887,807.58
  5. Step 5: Solve for x
    x = 34,302,887,807.58/273,235.68
  6. Step 6: Final answer
    x = 125,543.22

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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.