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Finding the Fourth Proportional to 261,371.80, 360,774.30 and 207,751.96

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Solution

The fourth proportional to 261,371.80, 360,774.30 and 207,751.96 is: 286,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,371.80 : 360,774.30 = 207,751.96 : x
  2. Step 2: Convert to fraction form
    261,371.80/360,774.30 = 207,751.96/x
  3. Step 3: Cross multiply
    261,371.80x = 360,774.30 × 207,751.96
  4. Step 4: Simplify right side
    261,371.80x = 74,951,567,942.63
  5. Step 5: Solve for x
    x = 74,951,567,942.63/261,371.80
  6. Step 6: Final answer
    x = 286,762.26

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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.