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Finding the Fourth Proportional to 185,151.96, 255,509.32 and 100,268.76

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Solution

The fourth proportional to 185,151.96, 255,509.32 and 100,268.76 is: 138,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,151.96 : 255,509.32 = 100,268.76 : x
  2. Step 2: Convert to fraction form
    185,151.96/255,509.32 = 100,268.76/x
  3. Step 3: Cross multiply
    185,151.96x = 255,509.32 × 100,268.76
  4. Step 4: Simplify right side
    185,151.96x = 25,619,602,684.84
  5. Step 5: Solve for x
    x = 25,619,602,684.84/185,151.96
  6. Step 6: Final answer
    x = 138,370.68

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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.