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Finding the Fourth Proportional to 106,140.72, 146,472.30 and 58,393.74

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Solution

The fourth proportional to 106,140.72, 146,472.30 and 58,393.74 is: 80,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,140.72 : 146,472.30 = 58,393.74 : x
  2. Step 2: Convert to fraction form
    106,140.72/146,472.30 = 58,393.74/x
  3. Step 3: Cross multiply
    106,140.72x = 146,472.30 × 58,393.74
  4. Step 4: Simplify right side
    106,140.72x = 8,553,065,403.40
  5. Step 5: Solve for x
    x = 8,553,065,403.40/106,140.72
  6. Step 6: Final answer
    x = 80,582.32

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