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Finding the Fourth Proportional to 161,367.52, 242,059.17 and 61,509.10

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Solution

The fourth proportional to 161,367.52, 242,059.17 and 61,509.10 is: 92,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,367.52 : 242,059.17 = 61,509.10 : x
  2. Step 2: Convert to fraction form
    161,367.52/242,059.17 = 61,509.10/x
  3. Step 3: Cross multiply
    161,367.52x = 242,059.17 × 61,509.10
  4. Step 4: Simplify right side
    161,367.52x = 14,888,841,693.45
  5. Step 5: Solve for x
    x = 14,888,841,693.45/161,367.52
  6. Step 6: Final answer
    x = 92,266.66

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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.