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Finding the Fourth Proportional to 233,686.54, 350,588.85 and 65,206.75

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Solution

The fourth proportional to 233,686.54, 350,588.85 and 65,206.75 is: 97,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,686.54 : 350,588.85 = 65,206.75 : x
  2. Step 2: Convert to fraction form
    233,686.54/350,588.85 = 65,206.75/x
  3. Step 3: Cross multiply
    233,686.54x = 350,588.85 × 65,206.75
  4. Step 4: Simplify right side
    233,686.54x = 22,860,759,494.74
  5. Step 5: Solve for x
    x = 22,860,759,494.74/233,686.54
  6. Step 6: Final answer
    x = 97,826.60

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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.