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Finding the Fourth Proportional to 207,712.90, 311,569.35 and 207,712.90

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Solution

The fourth proportional to 207,712.90, 311,569.35 and 207,712.90 is: 311,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,712.90 : 311,569.35 = 207,712.90 : x
  2. Step 2: Convert to fraction form
    207,712.90/311,569.35 = 207,712.90/x
  3. Step 3: Cross multiply
    207,712.90x = 311,569.35 × 207,712.90
  4. Step 4: Simplify right side
    207,712.90x = 64,716,973,239.62
  5. Step 5: Solve for x
    x = 64,716,973,239.62/207,712.90
  6. Step 6: Final answer
    x = 311,569.35

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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.