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Finding the Fourth Proportional to 162,400.32, 224,095.68 and 90,778.32

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Solution

The fourth proportional to 162,400.32, 224,095.68 and 90,778.32 is: 125,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,400.32 : 224,095.68 = 90,778.32 : x
  2. Step 2: Convert to fraction form
    162,400.32/224,095.68 = 90,778.32/x
  3. Step 3: Cross multiply
    162,400.32x = 224,095.68 × 90,778.32
  4. Step 4: Simplify right side
    162,400.32x = 20,343,029,349.66
  5. Step 5: Solve for x
    x = 20,343,029,349.66/162,400.32
  6. Step 6: Final answer
    x = 125,264.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.