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Finding the Fourth Proportional to 105,897.90, 146,129.58 and 58,150.20

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Solution

The fourth proportional to 105,897.90, 146,129.58 and 58,150.20 is: 80,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,897.90 : 146,129.58 = 58,150.20 : x
  2. Step 2: Convert to fraction form
    105,897.90/146,129.58 = 58,150.20/x
  3. Step 3: Cross multiply
    105,897.90x = 146,129.58 × 58,150.20
  4. Step 4: Simplify right side
    105,897.90x = 8,497,464,302.92
  5. Step 5: Solve for x
    x = 8,497,464,302.92/105,897.90
  6. Step 6: Final answer
    x = 80,242.05

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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.