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Finding the Fourth Proportional to 261,256.79, 360,505.54 and 146,511.82

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Solution

The fourth proportional to 261,256.79, 360,505.54 and 146,511.82 is: 202,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,256.79 : 360,505.54 = 146,511.82 : x
  2. Step 2: Convert to fraction form
    261,256.79/360,505.54 = 146,511.82/x
  3. Step 3: Cross multiply
    261,256.79x = 360,505.54 × 146,511.82
  4. Step 4: Simplify right side
    261,256.79x = 52,818,321,517.94
  5. Step 5: Solve for x
    x = 52,818,321,517.94/261,256.79
  6. Step 6: Final answer
    x = 202,170.14

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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.