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Finding the Fourth Proportional to 224,734.46, 310,130.42 and 122,758.70

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Solution

The fourth proportional to 224,734.46, 310,130.42 and 122,758.70 is: 169,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,734.46 : 310,130.42 = 122,758.70 : x
  2. Step 2: Convert to fraction form
    224,734.46/310,130.42 = 122,758.70/x
  3. Step 3: Cross multiply
    224,734.46x = 310,130.42 × 122,758.70
  4. Step 4: Simplify right side
    224,734.46x = 38,071,205,025.21
  5. Step 5: Solve for x
    x = 38,071,205,025.21/224,734.46
  6. Step 6: Final answer
    x = 169,405.29

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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.