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Finding the Fourth Proportional to 153,771.75, 230,696.51 and 42,963.75

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Solution

The fourth proportional to 153,771.75, 230,696.51 and 42,963.75 is: 64,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,771.75 : 230,696.51 = 42,963.75 : x
  2. Step 2: Convert to fraction form
    153,771.75/230,696.51 = 42,963.75/x
  3. Step 3: Cross multiply
    153,771.75x = 230,696.51 × 42,963.75
  4. Step 4: Simplify right side
    153,771.75x = 9,911,586,966.69
  5. Step 5: Solve for x
    x = 9,911,586,966.69/153,771.75
  6. Step 6: Final answer
    x = 64,456.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.