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Finding the Fourth Proportional to 224,728.80, 310,169.34 and 144,258.12

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Solution

The fourth proportional to 224,728.80, 310,169.34 and 144,258.12 is: 199,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,728.80 : 310,169.34 = 144,258.12 : x
  2. Step 2: Convert to fraction form
    224,728.80/310,169.34 = 144,258.12/x
  3. Step 3: Cross multiply
    224,728.80x = 310,169.34 × 144,258.12
  4. Step 4: Simplify right side
    224,728.80x = 44,744,445,870.04
  5. Step 5: Solve for x
    x = 44,744,445,870.04/224,728.80
  6. Step 6: Final answer
    x = 199,104.19

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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.