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Finding the Fourth Proportional to 261,710.79, 361,132.20 and 146,966.19

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Solution

The fourth proportional to 261,710.79, 361,132.20 and 146,966.19 is: 202,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,710.79 : 361,132.20 = 146,966.19 : x
  2. Step 2: Convert to fraction form
    261,710.79/361,132.20 = 146,966.19/x
  3. Step 3: Cross multiply
    261,710.79x = 361,132.20 × 146,966.19
  4. Step 4: Simplify right side
    261,710.79x = 53,074,223,520.32
  5. Step 5: Solve for x
    x = 53,074,223,520.32/261,710.79
  6. Step 6: Final answer
    x = 202,797.23

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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.