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Finding the Fourth Proportional to 261,772.59, 392,678.78 and 101,779.78

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Solution

The fourth proportional to 261,772.59, 392,678.78 and 101,779.78 is: 152,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,772.59 : 392,678.78 = 101,779.78 : x
  2. Step 2: Convert to fraction form
    261,772.59/392,678.78 = 101,779.78/x
  3. Step 3: Cross multiply
    261,772.59x = 392,678.78 × 101,779.78
  4. Step 4: Simplify right side
    261,772.59x = 39,966,761,196.37
  5. Step 5: Solve for x
    x = 39,966,761,196.37/261,772.59
  6. Step 6: Final answer
    x = 152,677.41

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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.