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Finding the Fourth Proportional to 106,123.66, 146,447.56 and 58,377

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Solution

The fourth proportional to 106,123.66, 146,447.56 and 58,377 is: 80,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,123.66 : 146,447.56 = 58,377 : x
  2. Step 2: Convert to fraction form
    106,123.66/146,447.56 = 58,377/x
  3. Step 3: Cross multiply
    106,123.66x = 146,447.56 × 58,377
  4. Step 4: Simplify right side
    106,123.66x = 8,549,169,210.12
  5. Step 5: Solve for x
    x = 8,549,169,210.12/106,123.66
  6. Step 6: Final answer
    x = 80,558.56

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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.