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Finding the Fourth Proportional to 261,659.47, 361,085.70 and 146,939.17

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Solution

The fourth proportional to 261,659.47, 361,085.70 and 146,939.17 is: 202,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,659.47 : 361,085.70 = 146,939.17 : x
  2. Step 2: Convert to fraction form
    261,659.47/361,085.70 = 146,939.17/x
  3. Step 3: Cross multiply
    261,659.47x = 361,085.70 × 146,939.17
  4. Step 4: Simplify right side
    261,659.47x = 53,057,633,056.87
  5. Step 5: Solve for x
    x = 53,057,633,056.87/261,659.47
  6. Step 6: Final answer
    x = 202,773.60

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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.