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Finding the Fourth Proportional to 224,857.92, 310,347.48 and 144,387.12

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Solution

The fourth proportional to 224,857.92, 310,347.48 and 144,387.12 is: 199,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,857.92 : 310,347.48 = 144,387.12 : x
  2. Step 2: Convert to fraction form
    224,857.92/310,347.48 = 144,387.12/x
  3. Step 3: Cross multiply
    224,857.92x = 310,347.48 × 144,387.12
  4. Step 4: Simplify right side
    224,857.92x = 44,810,178,836.46
  5. Step 5: Solve for x
    x = 44,810,178,836.46/224,857.92
  6. Step 6: Final answer
    x = 199,282.19

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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.