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Finding the Fourth Proportional to 185,663.56, 256,216 and 100,780.70

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Solution

The fourth proportional to 185,663.56, 256,216 and 100,780.70 is: 139,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,663.56 : 256,216 = 100,780.70 : x
  2. Step 2: Convert to fraction form
    185,663.56/256,216 = 100,780.70/x
  3. Step 3: Cross multiply
    185,663.56x = 256,216 × 100,780.70
  4. Step 4: Simplify right side
    185,663.56x = 25,821,627,831.20
  5. Step 5: Solve for x
    x = 25,821,627,831.20/185,663.56
  6. Step 6: Final answer
    x = 139,077.52

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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.