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Finding the Fourth Proportional to 224,609.32, 309,952.74 and 124,005.16

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Solution

The fourth proportional to 224,609.32, 309,952.74 and 124,005.16 is: 171,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,609.32 : 309,952.74 = 124,005.16 : x
  2. Step 2: Convert to fraction form
    224,609.32/309,952.74 = 124,005.16/x
  3. Step 3: Cross multiply
    224,609.32x = 309,952.74 × 124,005.16
  4. Step 4: Simplify right side
    224,609.32x = 38,435,739,116.14
  5. Step 5: Solve for x
    x = 38,435,739,116.14/224,609.32
  6. Step 6: Final answer
    x = 171,122.64

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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.