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Finding the Fourth Proportional to 205,740.55, 288,233.60 and 205,740.55

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Solution

The fourth proportional to 205,740.55, 288,233.60 and 205,740.55 is: 288,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,740.55 : 288,233.60 = 205,740.55 : x
  2. Step 2: Convert to fraction form
    205,740.55/288,233.60 = 205,740.55/x
  3. Step 3: Cross multiply
    205,740.55x = 288,233.60 × 205,740.55
  4. Step 4: Simplify right side
    205,740.55x = 59,301,339,392.48
  5. Step 5: Solve for x
    x = 59,301,339,392.48/205,740.55
  6. Step 6: Final answer
    x = 288,233.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.