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Finding the Fourth Proportional to 261,572.65, 360,945.32 and 146,825.01

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Solution

The fourth proportional to 261,572.65, 360,945.32 and 146,825.01 is: 202,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,572.65 : 360,945.32 = 146,825.01 : x
  2. Step 2: Convert to fraction form
    261,572.65/360,945.32 = 146,825.01/x
  3. Step 3: Cross multiply
    261,572.65x = 360,945.32 × 146,825.01
  4. Step 4: Simplify right side
    261,572.65x = 52,995,799,484.33
  5. Step 5: Solve for x
    x = 52,995,799,484.33/261,572.65
  6. Step 6: Final answer
    x = 202,604.52

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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.