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Finding the Fourth Proportional to 224,712, 310,102.56 and 124,116.48

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Solution

The fourth proportional to 224,712, 310,102.56 and 124,116.48 is: 171,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,712 : 310,102.56 = 124,116.48 : x
  2. Step 2: Convert to fraction form
    224,712/310,102.56 = 124,116.48/x
  3. Step 3: Cross multiply
    224,712x = 310,102.56 × 124,116.48
  4. Step 4: Simplify right side
    224,712x = 38,488,838,186.19
  5. Step 5: Solve for x
    x = 38,488,838,186.19/224,712
  6. Step 6: Final answer
    x = 171,280.74

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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.