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Finding the Fourth Proportional to 207,707.16, 311,616.53 and 65,557.93

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Solution

The fourth proportional to 207,707.16, 311,616.53 and 65,557.93 is: 98,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,707.16 : 311,616.53 = 65,557.93 : x
  2. Step 2: Convert to fraction form
    207,707.16/311,616.53 = 65,557.93/x
  3. Step 3: Cross multiply
    207,707.16x = 311,616.53 × 65,557.93
  4. Step 4: Simplify right side
    207,707.16x = 20,428,934,660.58
  5. Step 5: Solve for x
    x = 20,428,934,660.58/207,707.16
  6. Step 6: Final answer
    x = 98,354.50

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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.