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Finding the Fourth Proportional to 261,405.30, 392,070.86 and 83,889.36

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Solution

The fourth proportional to 261,405.30, 392,070.86 and 83,889.36 is: 125,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,405.30 : 392,070.86 = 83,889.36 : x
  2. Step 2: Convert to fraction form
    261,405.30/392,070.86 = 83,889.36/x
  3. Step 3: Cross multiply
    261,405.30x = 392,070.86 × 83,889.36
  4. Step 4: Simplify right side
    261,405.30x = 32,890,573,520.05
  5. Step 5: Solve for x
    x = 32,890,573,520.05/261,405.30
  6. Step 6: Final answer
    x = 125,822.14

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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.