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Finding the Fourth Proportional to 135,730.34, 187,307.58 and 75,310.16

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Solution

The fourth proportional to 135,730.34, 187,307.58 and 75,310.16 is: 103,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,730.34 : 187,307.58 = 75,310.16 : x
  2. Step 2: Convert to fraction form
    135,730.34/187,307.58 = 75,310.16/x
  3. Step 3: Cross multiply
    135,730.34x = 187,307.58 × 75,310.16
  4. Step 4: Simplify right side
    135,730.34x = 14,106,163,819.01
  5. Step 5: Solve for x
    x = 14,106,163,819.01/135,730.34
  6. Step 6: Final answer
    x = 103,927.86

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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.