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Finding the Fourth Proportional to 205,257.56, 307,894.98 and 65,013.08

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Solution

The fourth proportional to 205,257.56, 307,894.98 and 65,013.08 is: 97,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,257.56 : 307,894.98 = 65,013.08 : x
  2. Step 2: Convert to fraction form
    205,257.56/307,894.98 = 65,013.08/x
  3. Step 3: Cross multiply
    205,257.56x = 307,894.98 × 65,013.08
  4. Step 4: Simplify right side
    205,257.56x = 20,017,200,966.34
  5. Step 5: Solve for x
    x = 20,017,200,966.34/205,257.56
  6. Step 6: Final answer
    x = 97,522.36

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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.