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Finding the Fourth Proportional to 130,549.68, 180,158.04 and 76,834.32

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Solution

The fourth proportional to 130,549.68, 180,158.04 and 76,834.32 is: 106,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,549.68 : 180,158.04 = 76,834.32 : x
  2. Step 2: Convert to fraction form
    130,549.68/180,158.04 = 76,834.32/x
  3. Step 3: Cross multiply
    130,549.68x = 180,158.04 × 76,834.32
  4. Step 4: Simplify right side
    130,549.68x = 13,842,320,495.93
  5. Step 5: Solve for x
    x = 13,842,320,495.93/130,549.68
  6. Step 6: Final answer
    x = 106,031.06

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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.