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Finding the Fourth Proportional to 162,455.64, 224,193.66 and 89,859.48

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Solution

The fourth proportional to 162,455.64, 224,193.66 and 89,859.48 is: 124,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,455.64 : 224,193.66 = 89,859.48 : x
  2. Step 2: Convert to fraction form
    162,455.64/224,193.66 = 89,859.48/x
  3. Step 3: Cross multiply
    162,455.64x = 224,193.66 × 89,859.48
  4. Step 4: Simplify right side
    162,455.64x = 20,145,925,706.90
  5. Step 5: Solve for x
    x = 20,145,925,706.90/162,455.64
  6. Step 6: Final answer
    x = 124,008.78

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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.