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Finding the Fourth Proportional to 157,312.96, 217,027.44 and 89,315.20

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Solution

The fourth proportional to 157,312.96, 217,027.44 and 89,315.20 is: 123,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,312.96 : 217,027.44 = 89,315.20 : x
  2. Step 2: Convert to fraction form
    157,312.96/217,027.44 = 89,315.20/x
  3. Step 3: Cross multiply
    157,312.96x = 217,027.44 × 89,315.20
  4. Step 4: Simplify right side
    157,312.96x = 19,383,849,209.09
  5. Step 5: Solve for x
    x = 19,383,849,209.09/157,312.96
  6. Step 6: Final answer
    x = 123,218.39

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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.