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Finding the Fourth Proportional to 157,552.86, 217,421.10 and 85,933.48

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Solution

The fourth proportional to 157,552.86, 217,421.10 and 85,933.48 is: 118,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,552.86 : 217,421.10 = 85,933.48 : x
  2. Step 2: Convert to fraction form
    157,552.86/217,421.10 = 85,933.48/x
  3. Step 3: Cross multiply
    157,552.86x = 217,421.10 × 85,933.48
  4. Step 4: Simplify right side
    157,552.86x = 18,683,751,748.43
  5. Step 5: Solve for x
    x = 18,683,751,748.43/157,552.86
  6. Step 6: Final answer
    x = 118,587.20

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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.