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Finding the Fourth Proportional to 224,751.08, 310,082.10 and 148,308.14

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Solution

The fourth proportional to 224,751.08, 310,082.10 and 148,308.14 is: 204,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,751.08 : 310,082.10 = 148,308.14 : x
  2. Step 2: Convert to fraction form
    224,751.08/310,082.10 = 148,308.14/x
  3. Step 3: Cross multiply
    224,751.08x = 310,082.10 × 148,308.14
  4. Step 4: Simplify right side
    224,751.08x = 45,987,699,498.29
  5. Step 5: Solve for x
    x = 45,987,699,498.29/224,751.08
  6. Step 6: Final answer
    x = 204,616.14

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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.