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Finding the Fourth Proportional to 261,577.34, 360,951.78 and 146,829.70

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Solution

The fourth proportional to 261,577.34, 360,951.78 and 146,829.70 is: 202,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,577.34 : 360,951.78 = 146,829.70 : x
  2. Step 2: Convert to fraction form
    261,577.34/360,951.78 = 146,829.70/x
  3. Step 3: Cross multiply
    261,577.34x = 360,951.78 × 146,829.70
  4. Step 4: Simplify right side
    261,577.34x = 52,998,441,571.87
  5. Step 5: Solve for x
    x = 52,998,441,571.87/261,577.34
  6. Step 6: Final answer
    x = 202,610.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.