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Finding the Fourth Proportional to 102,543.10, 153,814.65 and 97,704.70

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Solution

The fourth proportional to 102,543.10, 153,814.65 and 97,704.70 is: 146,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,543.10 : 153,814.65 = 97,704.70 : x
  2. Step 2: Convert to fraction form
    102,543.10/153,814.65 = 97,704.70/x
  3. Step 3: Cross multiply
    102,543.10x = 153,814.65 × 97,704.70
  4. Step 4: Simplify right side
    102,543.10x = 15,028,414,233.86
  5. Step 5: Solve for x
    x = 15,028,414,233.86/102,543.10
  6. Step 6: Final answer
    x = 146,557.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.