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Finding the Fourth Proportional to 224,127, 309,299.72 and 122,152.05

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Solution

The fourth proportional to 224,127, 309,299.72 and 122,152.05 is: 168,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,127 : 309,299.72 = 122,152.05 : x
  2. Step 2: Convert to fraction form
    224,127/309,299.72 = 122,152.05/x
  3. Step 3: Cross multiply
    224,127x = 309,299.72 × 122,152.05
  4. Step 4: Simplify right side
    224,127x = 37,781,594,251.67
  5. Step 5: Solve for x
    x = 37,781,594,251.67/224,127
  6. Step 6: Final answer
    x = 168,572.26

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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.