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Finding the Fourth Proportional to 162,153.30, 223,775.13 and 90,529.86

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Solution

The fourth proportional to 162,153.30, 223,775.13 and 90,529.86 is: 124,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,153.30 : 223,775.13 = 90,529.86 : x
  2. Step 2: Convert to fraction form
    162,153.30/223,775.13 = 90,529.86/x
  3. Step 3: Cross multiply
    162,153.30x = 223,775.13 × 90,529.86
  4. Step 4: Simplify right side
    162,153.30x = 20,258,331,190.38
  5. Step 5: Solve for x
    x = 20,258,331,190.38/162,153.30
  6. Step 6: Final answer
    x = 124,933.20

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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.