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Finding the Fourth Proportional to 153,771.28, 230,695.77 and 42,963.28

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Solution

The fourth proportional to 153,771.28, 230,695.77 and 42,963.28 is: 64,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,771.28 : 230,695.77 = 42,963.28 : x
  2. Step 2: Convert to fraction form
    153,771.28/230,695.77 = 42,963.28/x
  3. Step 3: Cross multiply
    153,771.28x = 230,695.77 × 42,963.28
  4. Step 4: Simplify right side
    153,771.28x = 9,911,446,961.33
  5. Step 5: Solve for x
    x = 9,911,446,961.33/153,771.28
  6. Step 6: Final answer
    x = 64,455.77

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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.