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Finding the Fourth Proportional to 224,146.40, 309,322.16 and 127,350.40

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Solution

The fourth proportional to 224,146.40, 309,322.16 and 127,350.40 is: 175,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,146.40 : 309,322.16 = 127,350.40 : x
  2. Step 2: Convert to fraction form
    224,146.40/309,322.16 = 127,350.40/x
  3. Step 3: Cross multiply
    224,146.40x = 309,322.16 × 127,350.40
  4. Step 4: Simplify right side
    224,146.40x = 39,392,300,804.86
  5. Step 5: Solve for x
    x = 39,392,300,804.86/224,146.40
  6. Step 6: Final answer
    x = 175,743.62

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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.