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Finding the Fourth Proportional to 261,584.82, 360,998.91 and 154,159.38

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Solution

The fourth proportional to 261,584.82, 360,998.91 and 154,159.38 is: 212,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,584.82 : 360,998.91 = 154,159.38 : x
  2. Step 2: Convert to fraction form
    261,584.82/360,998.91 = 154,159.38/x
  3. Step 3: Cross multiply
    261,584.82x = 360,998.91 × 154,159.38
  4. Step 4: Simplify right side
    261,584.82x = 55,651,368,146.28
  5. Step 5: Solve for x
    x = 55,651,368,146.28/261,584.82
  6. Step 6: Final answer
    x = 212,746.93

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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.