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Finding the Fourth Proportional to 102,038, 140,748.90 and 70,151.54

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Solution

The fourth proportional to 102,038, 140,748.90 and 70,151.54 is: 96,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,038 : 140,748.90 = 70,151.54 : x
  2. Step 2: Convert to fraction form
    102,038/140,748.90 = 70,151.54/x
  3. Step 3: Cross multiply
    102,038x = 140,748.90 × 70,151.54
  4. Step 4: Simplify right side
    102,038x = 9,873,752,088.31
  5. Step 5: Solve for x
    x = 9,873,752,088.31/102,038
  6. Step 6: Final answer
    x = 96,765.44

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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.