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Finding the Fourth Proportional to 233,684.54, 350,585.85 and 65,204.75

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Solution

The fourth proportional to 233,684.54, 350,585.85 and 65,204.75 is: 97,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,684.54 : 350,585.85 = 65,204.75 : x
  2. Step 2: Convert to fraction form
    233,684.54/350,585.85 = 65,204.75/x
  3. Step 3: Cross multiply
    233,684.54x = 350,585.85 × 65,204.75
  4. Step 4: Simplify right side
    233,684.54x = 22,859,863,823.77
  5. Step 5: Solve for x
    x = 22,859,863,823.77/233,684.54
  6. Step 6: Final answer
    x = 97,823.60

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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.