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Finding the Fourth Proportional to 157,548.38, 217,598.13 and 114,719.36

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Solution

The fourth proportional to 157,548.38, 217,598.13 and 114,719.36 is: 158,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,548.38 : 217,598.13 = 114,719.36 : x
  2. Step 2: Convert to fraction form
    157,548.38/217,598.13 = 114,719.36/x
  3. Step 3: Cross multiply
    157,548.38x = 217,598.13 × 114,719.36
  4. Step 4: Simplify right side
    157,548.38x = 24,962,717,122.81
  5. Step 5: Solve for x
    x = 24,962,717,122.81/157,548.38
  6. Step 6: Final answer
    x = 158,444.78

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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.