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Finding the Fourth Proportional to 157,614.78, 217,356.68 and 106,048.06

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Solution

The fourth proportional to 157,614.78, 217,356.68 and 106,048.06 is: 146,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,614.78 : 217,356.68 = 106,048.06 : x
  2. Step 2: Convert to fraction form
    157,614.78/217,356.68 = 106,048.06/x
  3. Step 3: Cross multiply
    157,614.78x = 217,356.68 × 106,048.06
  4. Step 4: Simplify right side
    157,614.78x = 23,050,254,242.04
  5. Step 5: Solve for x
    x = 23,050,254,242.04/157,614.78
  6. Step 6: Final answer
    x = 146,244.24

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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.