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Finding the Fourth Proportional to 261,101.61, 360,317.16 and 146,379.69

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Solution

The fourth proportional to 261,101.61, 360,317.16 and 146,379.69 is: 202,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,101.61 : 360,317.16 = 146,379.69 : x
  2. Step 2: Convert to fraction form
    261,101.61/360,317.16 = 146,379.69/x
  3. Step 3: Cross multiply
    261,101.61x = 360,317.16 × 146,379.69
  4. Step 4: Simplify right side
    261,101.61x = 52,743,114,182.48
  5. Step 5: Solve for x
    x = 52,743,114,182.48/261,101.61
  6. Step 6: Final answer
    x = 202,002.26

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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.