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Finding the Fourth Proportional to 261,042.84, 360,264.48 and 146,340.96

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Solution

The fourth proportional to 261,042.84, 360,264.48 and 146,340.96 is: 201,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,042.84 : 360,264.48 = 146,340.96 : x
  2. Step 2: Convert to fraction form
    261,042.84/360,264.48 = 146,340.96/x
  3. Step 3: Cross multiply
    261,042.84x = 360,264.48 × 146,340.96
  4. Step 4: Simplify right side
    261,042.84x = 52,721,449,857.10
  5. Step 5: Solve for x
    x = 52,721,449,857.10/261,042.84
  6. Step 6: Final answer
    x = 201,964.74

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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.