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Finding the Fourth Proportional to 142,475.77, 213,702.56 and 58,213.49

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Solution

The fourth proportional to 142,475.77, 213,702.56 and 58,213.49 is: 87,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,475.77 : 213,702.56 = 58,213.49 : x
  2. Step 2: Convert to fraction form
    142,475.77/213,702.56 = 58,213.49/x
  3. Step 3: Cross multiply
    142,475.77x = 213,702.56 × 58,213.49
  4. Step 4: Simplify right side
    142,475.77x = 12,440,371,548.47
  5. Step 5: Solve for x
    x = 12,440,371,548.47/142,475.77
  6. Step 6: Final answer
    x = 87,315.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.