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Finding the Fourth Proportional to 157,419.90, 236,590.65 and 137,144.70

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Solution

The fourth proportional to 157,419.90, 236,590.65 and 137,144.70 is: 206,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,419.90 : 236,590.65 = 137,144.70 : x
  2. Step 2: Convert to fraction form
    157,419.90/236,590.65 = 137,144.70/x
  3. Step 3: Cross multiply
    157,419.90x = 236,590.65 × 137,144.70
  4. Step 4: Simplify right side
    157,419.90x = 32,447,153,717.06
  5. Step 5: Solve for x
    x = 32,447,153,717.06/157,419.90
  6. Step 6: Final answer
    x = 206,118.50

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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.