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Finding the Fourth Proportional to 106,100.48, 146,421.72 and 58,356.90

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Solution

The fourth proportional to 106,100.48, 146,421.72 and 58,356.90 is: 80,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,100.48 : 146,421.72 = 58,356.90 : x
  2. Step 2: Convert to fraction form
    106,100.48/146,421.72 = 58,356.90/x
  3. Step 3: Cross multiply
    106,100.48x = 146,421.72 × 58,356.90
  4. Step 4: Simplify right side
    106,100.48x = 8,544,717,671.87
  5. Step 5: Solve for x
    x = 8,544,717,671.87/106,100.48
  6. Step 6: Final answer
    x = 80,534.20

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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.