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Finding the Fourth Proportional to 282,348.38, 389,641.06 and 167,649.93

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Solution

The fourth proportional to 282,348.38, 389,641.06 and 167,649.93 is: 231,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,348.38 : 389,641.06 = 167,649.93 : x
  2. Step 2: Convert to fraction form
    282,348.38/389,641.06 = 167,649.93/x
  3. Step 3: Cross multiply
    282,348.38x = 389,641.06 × 167,649.93
  4. Step 4: Simplify right side
    282,348.38x = 65,323,296,643.69
  5. Step 5: Solve for x
    x = 65,323,296,643.69/282,348.38
  6. Step 6: Final answer
    x = 231,357.08

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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.