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Finding the Fourth Proportional to 357,788.16, 536,155.20 and 157,924.80

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Solution

The fourth proportional to 357,788.16, 536,155.20 and 157,924.80 is: 236,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,788.16 : 536,155.20 = 157,924.80 : x
  2. Step 2: Convert to fraction form
    357,788.16/536,155.20 = 157,924.80/x
  3. Step 3: Cross multiply
    357,788.16x = 536,155.20 × 157,924.80
  4. Step 4: Simplify right side
    357,788.16x = 84,672,202,728.96
  5. Step 5: Solve for x
    x = 84,672,202,728.96/357,788.16
  6. Step 6: Final answer
    x = 236,654.57

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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.