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Finding the Fourth Proportional to 261,436.95, 360,761.85 and 146,699.91

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Solution

The fourth proportional to 261,436.95, 360,761.85 and 146,699.91 is: 202,434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,436.95 : 360,761.85 = 146,699.91 : x
  2. Step 2: Convert to fraction form
    261,436.95/360,761.85 = 146,699.91/x
  3. Step 3: Cross multiply
    261,436.95x = 360,761.85 × 146,699.91
  4. Step 4: Simplify right side
    261,436.95x = 52,923,730,926.43
  5. Step 5: Solve for x
    x = 52,923,730,926.43/261,436.95
  6. Step 6: Final answer
    x = 202,434.01

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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.