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Finding the Fourth Proportional to 261,659.43, 360,995.53 and 148,416.57

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Solution

The fourth proportional to 261,659.43, 360,995.53 and 148,416.57 is: 204,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,659.43 : 360,995.53 = 148,416.57 : x
  2. Step 2: Convert to fraction form
    261,659.43/360,995.53 = 148,416.57/x
  3. Step 3: Cross multiply
    261,659.43x = 360,995.53 × 148,416.57
  4. Step 4: Simplify right side
    261,659.43x = 53,577,718,347.93
  5. Step 5: Solve for x
    x = 53,577,718,347.93/261,659.43
  6. Step 6: Final answer
    x = 204,761.27

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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.