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Finding the Fourth Proportional to 185,751.63, 256,340.70 and 105,178.91

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Solution

The fourth proportional to 185,751.63, 256,340.70 and 105,178.91 is: 145,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,751.63 : 256,340.70 = 105,178.91 : x
  2. Step 2: Convert to fraction form
    185,751.63/256,340.70 = 105,178.91/x
  3. Step 3: Cross multiply
    185,751.63x = 256,340.70 × 105,178.91
  4. Step 4: Simplify right side
    185,751.63x = 26,961,634,132.93
  5. Step 5: Solve for x
    x = 26,961,634,132.93/185,751.63
  6. Step 6: Final answer
    x = 145,148.84

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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.