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Finding the Fourth Proportional to 261,852.27, 361,386.96 and 147,131.16

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Solution

The fourth proportional to 261,852.27, 361,386.96 and 147,131.16 is: 203,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,852.27 : 361,386.96 = 147,131.16 : x
  2. Step 2: Convert to fraction form
    261,852.27/361,386.96 = 147,131.16/x
  3. Step 3: Cross multiply
    261,852.27x = 361,386.96 × 147,131.16
  4. Step 4: Simplify right side
    261,852.27x = 53,171,282,633.67
  5. Step 5: Solve for x
    x = 53,171,282,633.67/261,852.27
  6. Step 6: Final answer
    x = 203,058.32

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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.