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Finding the Fourth Proportional to 261,821.53, 361,291.52 and 147,091.17

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Solution

The fourth proportional to 261,821.53, 361,291.52 and 147,091.17 is: 202,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,821.53 : 361,291.52 = 147,091.17 : x
  2. Step 2: Convert to fraction form
    261,821.53/361,291.52 = 147,091.17/x
  3. Step 3: Cross multiply
    261,821.53x = 361,291.52 × 147,091.17
  4. Step 4: Simplify right side
    261,821.53x = 53,142,794,110.45
  5. Step 5: Solve for x
    x = 53,142,794,110.45/261,821.53
  6. Step 6: Final answer
    x = 202,973.35

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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.