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Finding the Fourth Proportional to 261,529.98, 360,906.21 and 146,811.30

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Solution

The fourth proportional to 261,529.98, 360,906.21 and 146,811.30 is: 202,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,529.98 : 360,906.21 = 146,811.30 : x
  2. Step 2: Convert to fraction form
    261,529.98/360,906.21 = 146,811.30/x
  3. Step 3: Cross multiply
    261,529.98x = 360,906.21 × 146,811.30
  4. Step 4: Simplify right side
    261,529.98x = 52,985,109,868.17
  5. Step 5: Solve for x
    x = 52,985,109,868.17/261,529.98
  6. Step 6: Final answer
    x = 202,596.70

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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.