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Finding the Fourth Proportional to 103,032, 142,184.16 and 58,320

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Solution

The fourth proportional to 103,032, 142,184.16 and 58,320 is: 80,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,032 : 142,184.16 = 58,320 : x
  2. Step 2: Convert to fraction form
    103,032/142,184.16 = 58,320/x
  3. Step 3: Cross multiply
    103,032x = 142,184.16 × 58,320
  4. Step 4: Simplify right side
    103,032x = 8,292,180,211.20
  5. Step 5: Solve for x
    x = 8,292,180,211.20/103,032
  6. Step 6: Final answer
    x = 80,481.60

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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.