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Finding the Fourth Proportional to 103,417.60, 142,706.16 and 58,085.20

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Solution

The fourth proportional to 103,417.60, 142,706.16 and 58,085.20 is: 80,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,417.60 : 142,706.16 = 58,085.20 : x
  2. Step 2: Convert to fraction form
    103,417.60/142,706.16 = 58,085.20/x
  3. Step 3: Cross multiply
    103,417.60x = 142,706.16 × 58,085.20
  4. Step 4: Simplify right side
    103,417.60x = 8,289,115,844.83
  5. Step 5: Solve for x
    x = 8,289,115,844.83/103,417.60
  6. Step 6: Final answer
    x = 80,151.89

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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.