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Finding the Fourth Proportional to 139,968.30, 209,952.45 and 83,981.10

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Solution

The fourth proportional to 139,968.30, 209,952.45 and 83,981.10 is: 125,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968.30 : 209,952.45 = 83,981.10 : x
  2. Step 2: Convert to fraction form
    139,968.30/209,952.45 = 83,981.10/x
  3. Step 3: Cross multiply
    139,968.30x = 209,952.45 × 83,981.10
  4. Step 4: Simplify right side
    139,968.30x = 17,632,037,698.70
  5. Step 5: Solve for x
    x = 17,632,037,698.70/139,968.30
  6. Step 6: Final answer
    x = 125,971.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.