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Finding the Fourth Proportional to 224,853.19, 310,298.21 and 122,880.21

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Solution

The fourth proportional to 224,853.19, 310,298.21 and 122,880.21 is: 169,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,853.19 : 310,298.21 = 122,880.21 : x
  2. Step 2: Convert to fraction form
    224,853.19/310,298.21 = 122,880.21/x
  3. Step 3: Cross multiply
    224,853.19x = 310,298.21 × 122,880.21
  4. Step 4: Simplify right side
    224,853.19x = 38,129,508,593.02
  5. Step 5: Solve for x
    x = 38,129,508,593.02/224,853.19
  6. Step 6: Final answer
    x = 169,575.13

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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.