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Finding the Fourth Proportional to 154,397.86, 213,020.50 and 86,404.03

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Solution

The fourth proportional to 154,397.86, 213,020.50 and 86,404.03 is: 119,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,397.86 : 213,020.50 = 86,404.03 : x
  2. Step 2: Convert to fraction form
    154,397.86/213,020.50 = 86,404.03/x
  3. Step 3: Cross multiply
    154,397.86x = 213,020.50 × 86,404.03
  4. Step 4: Simplify right side
    154,397.86x = 18,405,829,240.59
  5. Step 5: Solve for x
    x = 18,405,829,240.59/154,397.86
  6. Step 6: Final answer
    x = 119,210.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.