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Finding the Fourth Proportional to 130,077.68, 195,116.54 and 36,583.43

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Solution

The fourth proportional to 130,077.68, 195,116.54 and 36,583.43 is: 54,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,077.68 : 195,116.54 = 36,583.43 : x
  2. Step 2: Convert to fraction form
    130,077.68/195,116.54 = 36,583.43/x
  3. Step 3: Cross multiply
    130,077.68x = 195,116.54 × 36,583.43
  4. Step 4: Simplify right side
    130,077.68x = 7,138,031,124.43
  5. Step 5: Solve for x
    x = 7,138,031,124.43/130,077.68
  6. Step 6: Final answer
    x = 54,875.14

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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.