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Finding the Fourth Proportional to 224,731.92, 310,114.44 and 124,122

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Solution

The fourth proportional to 224,731.92, 310,114.44 and 124,122 is: 171,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,731.92 : 310,114.44 = 124,122 : x
  2. Step 2: Convert to fraction form
    224,731.92/310,114.44 = 124,122/x
  3. Step 3: Cross multiply
    224,731.92x = 310,114.44 × 124,122
  4. Step 4: Simplify right side
    224,731.92x = 38,492,024,521.68
  5. Step 5: Solve for x
    x = 38,492,024,521.68/224,731.92
  6. Step 6: Final answer
    x = 171,279.74

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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.