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Finding the Fourth Proportional to 102,082.35, 153,154.61 and 52,197.49

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Solution

The fourth proportional to 102,082.35, 153,154.61 and 52,197.49 is: 78,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.35 : 153,154.61 = 52,197.49 : x
  2. Step 2: Convert to fraction form
    102,082.35/153,154.61 = 52,197.49/x
  3. Step 3: Cross multiply
    102,082.35x = 153,154.61 × 52,197.49
  4. Step 4: Simplify right side
    102,082.35x = 7,994,286,223.93
  5. Step 5: Solve for x
    x = 7,994,286,223.93/102,082.35
  6. Step 6: Final answer
    x = 78,312.13

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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.