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Finding the Fourth Proportional to 224,430.75, 309,720.92 and 123,835.23

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Solution

The fourth proportional to 224,430.75, 309,720.92 and 123,835.23 is: 170,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430.75 : 309,720.92 = 123,835.23 : x
  2. Step 2: Convert to fraction form
    224,430.75/309,720.92 = 123,835.23/x
  3. Step 3: Cross multiply
    224,430.75x = 309,720.92 × 123,835.23
  4. Step 4: Simplify right side
    224,430.75x = 38,354,360,744.84
  5. Step 5: Solve for x
    x = 38,354,360,744.84/224,430.75
  6. Step 6: Final answer
    x = 170,896.19

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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.