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Finding the Fourth Proportional to 261,238.69, 360,513.51 and 146,542.83

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Solution

The fourth proportional to 261,238.69, 360,513.51 and 146,542.83 is: 202,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,238.69 : 360,513.51 = 146,542.83 : x
  2. Step 2: Convert to fraction form
    261,238.69/360,513.51 = 146,542.83/x
  3. Step 3: Cross multiply
    261,238.69x = 360,513.51 × 146,542.83
  4. Step 4: Simplify right side
    261,238.69x = 52,830,670,008.63
  5. Step 5: Solve for x
    x = 52,830,670,008.63/261,238.69
  6. Step 6: Final answer
    x = 202,231.42

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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.