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Finding the Fourth Proportional to 261,880.36, 361,425.54 and 147,159.16

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Solution

The fourth proportional to 261,880.36, 361,425.54 and 147,159.16 is: 203,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,880.36 : 361,425.54 = 147,159.16 : x
  2. Step 2: Convert to fraction form
    261,880.36/361,425.54 = 147,159.16/x
  3. Step 3: Cross multiply
    261,880.36x = 361,425.54 × 147,159.16
  4. Step 4: Simplify right side
    261,880.36x = 53,187,078,868.95
  5. Step 5: Solve for x
    x = 53,187,078,868.95/261,880.36
  6. Step 6: Final answer
    x = 203,096.86

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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.