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Finding the Fourth Proportional to 261,496.77, 360,850.37 and 146,764.77

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Solution

The fourth proportional to 261,496.77, 360,850.37 and 146,764.77 is: 202,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,496.77 : 360,850.37 = 146,764.77 : x
  2. Step 2: Convert to fraction form
    261,496.77/360,850.37 = 146,764.77/x
  3. Step 3: Cross multiply
    261,496.77x = 360,850.37 × 146,764.77
  4. Step 4: Simplify right side
    261,496.77x = 52,960,120,823.64
  5. Step 5: Solve for x
    x = 52,960,120,823.64/261,496.77
  6. Step 6: Final answer
    x = 202,526.86

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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.