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Finding the Fourth Proportional to 176,758.76, 243,943.32 and 100,302.80

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Solution

The fourth proportional to 176,758.76, 243,943.32 and 100,302.80 is: 138,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,758.76 : 243,943.32 = 100,302.80 : x
  2. Step 2: Convert to fraction form
    176,758.76/243,943.32 = 100,302.80/x
  3. Step 3: Cross multiply
    176,758.76x = 243,943.32 × 100,302.80
  4. Step 4: Simplify right side
    176,758.76x = 24,468,198,037.30
  5. Step 5: Solve for x
    x = 24,468,198,037.30/176,758.76
  6. Step 6: Final answer
    x = 138,427.07

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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.