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Finding the Fourth Proportional to 452,253.30, 678,478.43 and 136,702

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Solution

The fourth proportional to 452,253.30, 678,478.43 and 136,702 is: 205,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,253.30 : 678,478.43 = 136,702 : x
  2. Step 2: Convert to fraction form
    452,253.30/678,478.43 = 136,702/x
  3. Step 3: Cross multiply
    452,253.30x = 678,478.43 × 136,702
  4. Step 4: Simplify right side
    452,253.30x = 92,749,358,337.86
  5. Step 5: Solve for x
    x = 92,749,358,337.86/452,253.30
  6. Step 6: Final answer
    x = 205,082.77

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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.