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Finding the Fourth Proportional to 261,057.84, 360,256.92 and 146,355.15

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Solution

The fourth proportional to 261,057.84, 360,256.92 and 146,355.15 is: 201,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,057.84 : 360,256.92 = 146,355.15 : x
  2. Step 2: Convert to fraction form
    261,057.84/360,256.92 = 146,355.15/x
  3. Step 3: Cross multiply
    261,057.84x = 360,256.92 × 146,355.15
  4. Step 4: Simplify right side
    261,057.84x = 52,725,456,367.27
  5. Step 5: Solve for x
    x = 52,725,456,367.27/261,057.84
  6. Step 6: Final answer
    x = 201,968.49

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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.