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Finding the Fourth Proportional to 129,663.10, 194,494.65 and 103,419.10

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Solution

The fourth proportional to 129,663.10, 194,494.65 and 103,419.10 is: 155,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,663.10 : 194,494.65 = 103,419.10 : x
  2. Step 2: Convert to fraction form
    129,663.10/194,494.65 = 103,419.10/x
  3. Step 3: Cross multiply
    129,663.10x = 194,494.65 × 103,419.10
  4. Step 4: Simplify right side
    129,663.10x = 20,114,461,657.82
  5. Step 5: Solve for x
    x = 20,114,461,657.82/129,663.10
  6. Step 6: Final answer
    x = 155,128.65

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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.