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Finding the Fourth Proportional to 255,264.24, 352,251 and 147,825.84

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Solution

The fourth proportional to 255,264.24, 352,251 and 147,825.84 is: 203,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,264.24 : 352,251 = 147,825.84 : x
  2. Step 2: Convert to fraction form
    255,264.24/352,251 = 147,825.84/x
  3. Step 3: Cross multiply
    255,264.24x = 352,251 × 147,825.84
  4. Step 4: Simplify right side
    255,264.24x = 52,071,799,965.84
  5. Step 5: Solve for x
    x = 52,071,799,965.84/255,264.24
  6. Step 6: Final answer
    x = 203,991.75

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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.