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Finding the Fourth Proportional to 176,028, 242,919 and 100,576.32

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Solution

The fourth proportional to 176,028, 242,919 and 100,576.32 is: 138,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,028 : 242,919 = 100,576.32 : x
  2. Step 2: Convert to fraction form
    176,028/242,919 = 100,576.32/x
  3. Step 3: Cross multiply
    176,028x = 242,919 × 100,576.32
  4. Step 4: Simplify right side
    176,028x = 24,431,899,078.08
  5. Step 5: Solve for x
    x = 24,431,899,078.08/176,028
  6. Step 6: Final answer
    x = 138,795.53

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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.