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Finding the Fourth Proportional to 261,461.52, 392,034.16 and 117,341.20

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Solution

The fourth proportional to 261,461.52, 392,034.16 and 117,341.20 is: 175,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,461.52 : 392,034.16 = 117,341.20 : x
  2. Step 2: Convert to fraction form
    261,461.52/392,034.16 = 117,341.20/x
  3. Step 3: Cross multiply
    261,461.52x = 392,034.16 × 117,341.20
  4. Step 4: Simplify right side
    261,461.52x = 46,001,758,775.39
  5. Step 5: Solve for x
    x = 46,001,758,775.39/261,461.52
  6. Step 6: Final answer
    x = 175,940.84

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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.