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Finding the Fourth Proportional to 123,484.14, 185,023.71 and 52,349.94

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Solution

The fourth proportional to 123,484.14, 185,023.71 and 52,349.94 is: 78,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,484.14 : 185,023.71 = 52,349.94 : x
  2. Step 2: Convert to fraction form
    123,484.14/185,023.71 = 52,349.94/x
  3. Step 3: Cross multiply
    123,484.14x = 185,023.71 × 52,349.94
  4. Step 4: Simplify right side
    123,484.14x = 9,685,980,117.08
  5. Step 5: Solve for x
    x = 9,685,980,117.08/123,484.14
  6. Step 6: Final answer
    x = 78,439.06

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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.