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Finding the Fourth Proportional to 261,219.76, 360,504.75 and 146,496.22

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Solution

The fourth proportional to 261,219.76, 360,504.75 and 146,496.22 is: 202,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,219.76 : 360,504.75 = 146,496.22 : x
  2. Step 2: Convert to fraction form
    261,219.76/360,504.75 = 146,496.22/x
  3. Step 3: Cross multiply
    261,219.76x = 360,504.75 × 146,496.22
  4. Step 4: Simplify right side
    261,219.76x = 52,812,583,167.05
  5. Step 5: Solve for x
    x = 52,812,583,167.05/261,219.76
  6. Step 6: Final answer
    x = 202,176.83

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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.