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Finding the Fourth Proportional to 265,089.38, 365,820.50 and 157,657.05

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Solution

The fourth proportional to 265,089.38, 365,820.50 and 157,657.05 is: 217,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,089.38 : 365,820.50 = 157,657.05 : x
  2. Step 2: Convert to fraction form
    265,089.38/365,820.50 = 157,657.05/x
  3. Step 3: Cross multiply
    265,089.38x = 365,820.50 × 157,657.05
  4. Step 4: Simplify right side
    265,089.38x = 57,674,181,253.67
  5. Step 5: Solve for x
    x = 57,674,181,253.67/265,089.38
  6. Step 6: Final answer
    x = 217,565.04

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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.