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Finding the Fourth Proportional to 138,430.95, 207,694.61 and 43,675.76

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Solution

The fourth proportional to 138,430.95, 207,694.61 and 43,675.76 is: 65,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430.95 : 207,694.61 = 43,675.76 : x
  2. Step 2: Convert to fraction form
    138,430.95/207,694.61 = 43,675.76/x
  3. Step 3: Cross multiply
    138,430.95x = 207,694.61 × 43,675.76
  4. Step 4: Simplify right side
    138,430.95x = 9,071,219,113.18
  5. Step 5: Solve for x
    x = 9,071,219,113.18/138,430.95
  6. Step 6: Final answer
    x = 65,528.84

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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.