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Finding the Fourth Proportional to 131,464, 197,154.24 and 42,696.96

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Solution

The fourth proportional to 131,464, 197,154.24 and 42,696.96 is: 64,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,464 : 197,154.24 = 42,696.96 : x
  2. Step 2: Convert to fraction form
    131,464/197,154.24 = 42,696.96/x
  3. Step 3: Cross multiply
    131,464x = 197,154.24 × 42,696.96
  4. Step 4: Simplify right side
    131,464x = 8,417,886,699.11
  5. Step 5: Solve for x
    x = 8,417,886,699.11/131,464
  6. Step 6: Final answer
    x = 64,031.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.