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Finding the Fourth Proportional to 130,730.96, 180,405.22 and 74,141.12

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Solution

The fourth proportional to 130,730.96, 180,405.22 and 74,141.12 is: 102,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,730.96 : 180,405.22 = 74,141.12 : x
  2. Step 2: Convert to fraction form
    130,730.96/180,405.22 = 74,141.12/x
  3. Step 3: Cross multiply
    130,730.96x = 180,405.22 × 74,141.12
  4. Step 4: Simplify right side
    130,730.96x = 13,375,445,064.65
  5. Step 5: Solve for x
    x = 13,375,445,064.65/130,730.96
  6. Step 6: Final answer
    x = 102,312.76

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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.