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Finding the Fourth Proportional to 415,419.32, 623,128.98 and 99,876.22

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Solution

The fourth proportional to 415,419.32, 623,128.98 and 99,876.22 is: 149,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,419.32 : 623,128.98 = 99,876.22 : x
  2. Step 2: Convert to fraction form
    415,419.32/623,128.98 = 99,876.22/x
  3. Step 3: Cross multiply
    415,419.32x = 623,128.98 × 99,876.22
  4. Step 4: Simplify right side
    415,419.32x = 62,235,767,499.23
  5. Step 5: Solve for x
    x = 62,235,767,499.23/415,419.32
  6. Step 6: Final answer
    x = 149,814.33

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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.