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Finding the Fourth Proportional to 106,747.78, 147,312.52 and 58,349.78

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Solution

The fourth proportional to 106,747.78, 147,312.52 and 58,349.78 is: 80,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,747.78 : 147,312.52 = 58,349.78 : x
  2. Step 2: Convert to fraction form
    106,747.78/147,312.52 = 58,349.78/x
  3. Step 3: Cross multiply
    106,747.78x = 147,312.52 × 58,349.78
  4. Step 4: Simplify right side
    106,747.78x = 8,595,653,133.25
  5. Step 5: Solve for x
    x = 8,595,653,133.25/106,747.78
  6. Step 6: Final answer
    x = 80,523.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.