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Finding the Fourth Proportional to 162,659.31, 224,478.44 and 102,207.59

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Solution

The fourth proportional to 162,659.31, 224,478.44 and 102,207.59 is: 141,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,659.31 : 224,478.44 = 102,207.59 : x
  2. Step 2: Convert to fraction form
    162,659.31/224,478.44 = 102,207.59/x
  3. Step 3: Cross multiply
    162,659.31x = 224,478.44 × 102,207.59
  4. Step 4: Simplify right side
    162,659.31x = 22,943,398,725.93
  5. Step 5: Solve for x
    x = 22,943,398,725.93/162,659.31
  6. Step 6: Final answer
    x = 141,051.86

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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.