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Finding the Fourth Proportional to 157,404.60, 236,020.30 and 107,541

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Solution

The fourth proportional to 157,404.60, 236,020.30 and 107,541 is: 161,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,404.60 : 236,020.30 = 107,541 : x
  2. Step 2: Convert to fraction form
    157,404.60/236,020.30 = 107,541/x
  3. Step 3: Cross multiply
    157,404.60x = 236,020.30 × 107,541
  4. Step 4: Simplify right side
    157,404.60x = 25,381,858,813.45
  5. Step 5: Solve for x
    x = 25,381,858,813.45/157,404.60
  6. Step 6: Final answer
    x = 161,252.33

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1.5x scale

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.