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Finding the Fourth Proportional to 103,134.88, 142,320.72 and 58,420

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Solution

The fourth proportional to 103,134.88, 142,320.72 and 58,420 is: 80,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,134.88 : 142,320.72 = 58,420 : x
  2. Step 2: Convert to fraction form
    103,134.88/142,320.72 = 58,420/x
  3. Step 3: Cross multiply
    103,134.88x = 142,320.72 × 58,420
  4. Step 4: Simplify right side
    103,134.88x = 8,314,376,462.40
  5. Step 5: Solve for x
    x = 8,314,376,462.40/103,134.88
  6. Step 6: Final answer
    x = 80,616.53

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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.