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Finding the Fourth Proportional to 261,032.80, 360,217.76 and 153,578.16

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Solution

The fourth proportional to 261,032.80, 360,217.76 and 153,578.16 is: 211,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,032.80 : 360,217.76 = 153,578.16 : x
  2. Step 2: Convert to fraction form
    261,032.80/360,217.76 = 153,578.16/x
  3. Step 3: Cross multiply
    261,032.80x = 360,217.76 × 153,578.16
  4. Step 4: Simplify right side
    261,032.80x = 55,321,580,780.12
  5. Step 5: Solve for x
    x = 55,321,580,780.12/261,032.80
  6. Step 6: Final answer
    x = 211,933.45

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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.