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Finding the Fourth Proportional to 185,695.54, 256,128.69 and 114,115.84

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Solution

The fourth proportional to 185,695.54, 256,128.69 and 114,115.84 is: 157,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,695.54 : 256,128.69 = 114,115.84 : x
  2. Step 2: Convert to fraction form
    185,695.54/256,128.69 = 114,115.84/x
  3. Step 3: Cross multiply
    185,695.54x = 256,128.69 × 114,115.84
  4. Step 4: Simplify right side
    185,695.54x = 29,228,340,607.45
  5. Step 5: Solve for x
    x = 29,228,340,607.45/185,695.54
  6. Step 6: Final answer
    x = 157,399.26

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1.5x scale

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.