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Finding the Fourth Proportional to 185,854.76, 256,484.58 and 100,977.56

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Solution

The fourth proportional to 185,854.76, 256,484.58 and 100,977.56 is: 139,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,854.76 : 256,484.58 = 100,977.56 : x
  2. Step 2: Convert to fraction form
    185,854.76/256,484.58 = 100,977.56/x
  3. Step 3: Cross multiply
    185,854.76x = 256,484.58 × 100,977.56
  4. Step 4: Simplify right side
    185,854.76x = 25,899,187,066.02
  5. Step 5: Solve for x
    x = 25,899,187,066.02/185,854.76
  6. Step 6: Final answer
    x = 139,351.76

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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.