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Finding the Fourth Proportional to 224,920.96, 310,385.52 and 122,941.84

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Solution

The fourth proportional to 224,920.96, 310,385.52 and 122,941.84 is: 169,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,920.96 : 310,385.52 = 122,941.84 : x
  2. Step 2: Convert to fraction form
    224,920.96/310,385.52 = 122,941.84/x
  3. Step 3: Cross multiply
    224,920.96x = 310,385.52 × 122,941.84
  4. Step 4: Simplify right side
    224,920.96x = 38,159,366,938.16
  5. Step 5: Solve for x
    x = 38,159,366,938.16/224,920.96
  6. Step 6: Final answer
    x = 169,656.78

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1.5x scale

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.