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Finding the Fourth Proportional to 227,225, 313,572.68 and 125,254.38

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Solution

The fourth proportional to 227,225, 313,572.68 and 125,254.38 is: 172,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,225 : 313,572.68 = 125,254.38 : x
  2. Step 2: Convert to fraction form
    227,225/313,572.68 = 125,254.38/x
  3. Step 3: Cross multiply
    227,225x = 313,572.68 × 125,254.38
  4. Step 4: Simplify right side
    227,225x = 39,276,351,618.34
  5. Step 5: Solve for x
    x = 39,276,351,618.34/227,225
  6. Step 6: Final answer
    x = 172,852.25

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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.