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Finding the Fourth Proportional to 103,135.88, 142,322.10 and 58,421

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Solution

The fourth proportional to 103,135.88, 142,322.10 and 58,421 is: 80,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,135.88 : 142,322.10 = 58,421 : x
  2. Step 2: Convert to fraction form
    103,135.88/142,322.10 = 58,421/x
  3. Step 3: Cross multiply
    103,135.88x = 142,322.10 × 58,421
  4. Step 4: Simplify right side
    103,135.88x = 8,314,599,404.10
  5. Step 5: Solve for x
    x = 8,314,599,404.10/103,135.88
  6. Step 6: Final answer
    x = 80,617.91

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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.