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Finding the Fourth Proportional to 261,528.36, 392,292.54 and 74,535

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Solution

The fourth proportional to 261,528.36, 392,292.54 and 74,535 is: 111,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,528.36 : 392,292.54 = 74,535 : x
  2. Step 2: Convert to fraction form
    261,528.36/392,292.54 = 74,535/x
  3. Step 3: Cross multiply
    261,528.36x = 392,292.54 × 74,535
  4. Step 4: Simplify right side
    261,528.36x = 29,239,524,468.90
  5. Step 5: Solve for x
    x = 29,239,524,468.90/261,528.36
  6. Step 6: Final answer
    x = 111,802.50

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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.