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Finding the Fourth Proportional to 157,036.38, 216,690.54 and 106,159.80

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Solution

The fourth proportional to 157,036.38, 216,690.54 and 106,159.80 is: 146,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,036.38 : 216,690.54 = 106,159.80 : x
  2. Step 2: Convert to fraction form
    157,036.38/216,690.54 = 106,159.80/x
  3. Step 3: Cross multiply
    157,036.38x = 216,690.54 × 106,159.80
  4. Step 4: Simplify right side
    157,036.38x = 23,003,824,388.29
  5. Step 5: Solve for x
    x = 23,003,824,388.29/157,036.38
  6. Step 6: Final answer
    x = 146,487.23

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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.