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Finding the Fourth Proportional to 103,122.32, 142,304.04 and 58,410.64

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Solution

The fourth proportional to 103,122.32, 142,304.04 and 58,410.64 is: 80,603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,122.32 : 142,304.04 = 58,410.64 : x
  2. Step 2: Convert to fraction form
    103,122.32/142,304.04 = 58,410.64/x
  3. Step 3: Cross multiply
    103,122.32x = 142,304.04 × 58,410.64
  4. Step 4: Simplify right side
    103,122.32x = 8,312,070,050.99
  5. Step 5: Solve for x
    x = 8,312,070,050.99/103,122.32
  6. Step 6: Final answer
    x = 80,603.99

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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.