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Finding the Fourth Proportional to 224,782.30, 310,221.03 and 122,823.26

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Solution

The fourth proportional to 224,782.30, 310,221.03 and 122,823.26 is: 169,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,782.30 : 310,221.03 = 122,823.26 : x
  2. Step 2: Convert to fraction form
    224,782.30/310,221.03 = 122,823.26/x
  3. Step 3: Cross multiply
    224,782.30x = 310,221.03 × 122,823.26
  4. Step 4: Simplify right side
    224,782.30x = 38,102,359,000.71
  5. Step 5: Solve for x
    x = 38,102,359,000.71/224,782.30
  6. Step 6: Final answer
    x = 169,507.83

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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.