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Finding the Fourth Proportional to 261,057.44, 360,281.30 and 146,334.26

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Solution

The fourth proportional to 261,057.44, 360,281.30 and 146,334.26 is: 201,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,057.44 : 360,281.30 = 146,334.26 : x
  2. Step 2: Convert to fraction form
    261,057.44/360,281.30 = 146,334.26/x
  3. Step 3: Cross multiply
    261,057.44x = 360,281.30 × 146,334.26
  4. Step 4: Simplify right side
    261,057.44x = 52,721,496,503.62
  5. Step 5: Solve for x
    x = 52,721,496,503.62/261,057.44
  6. Step 6: Final answer
    x = 201,953.62

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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.