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Finding the Fourth Proportional to 130,814.64, 180,518.76 and 74,229.12

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Solution

The fourth proportional to 130,814.64, 180,518.76 and 74,229.12 is: 102,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,814.64 : 180,518.76 = 74,229.12 : x
  2. Step 2: Convert to fraction form
    130,814.64/180,518.76 = 74,229.12/x
  3. Step 3: Cross multiply
    130,814.64x = 180,518.76 × 74,229.12
  4. Step 4: Simplify right side
    130,814.64x = 13,399,748,698.29
  5. Step 5: Solve for x
    x = 13,399,748,698.29/130,814.64
  6. Step 6: Final answer
    x = 102,433.10

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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.