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Finding the Fourth Proportional to 130,082.16, 195,101.36 and 36,566

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Solution

The fourth proportional to 130,082.16, 195,101.36 and 36,566 is: 54,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,082.16 : 195,101.36 = 36,566 : x
  2. Step 2: Convert to fraction form
    130,082.16/195,101.36 = 36,566/x
  3. Step 3: Cross multiply
    130,082.16x = 195,101.36 × 36,566
  4. Step 4: Simplify right side
    130,082.16x = 7,134,076,329.76
  5. Step 5: Solve for x
    x = 7,134,076,329.76/130,082.16
  6. Step 6: Final answer
    x = 54,842.85

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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.