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Finding the Fourth Proportional to 265,089.88, 365,821.19 and 157,657.55

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Solution

The fourth proportional to 265,089.88, 365,821.19 and 157,657.55 is: 217,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,089.88 : 365,821.19 = 157,657.55 : x
  2. Step 2: Convert to fraction form
    265,089.88/365,821.19 = 157,657.55/x
  3. Step 3: Cross multiply
    265,089.88x = 365,821.19 × 157,657.55
  4. Step 4: Simplify right side
    265,089.88x = 57,674,472,553.48
  5. Step 5: Solve for x
    x = 57,674,472,553.48/265,089.88
  6. Step 6: Final answer
    x = 217,565.73

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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.