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Finding the Fourth Proportional to 233,218.68, 349,853.02 and 64,739.72

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Solution

The fourth proportional to 233,218.68, 349,853.02 and 64,739.72 is: 97,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,218.68 : 349,853.02 = 64,739.72 : x
  2. Step 2: Convert to fraction form
    233,218.68/349,853.02 = 64,739.72/x
  3. Step 3: Cross multiply
    233,218.68x = 349,853.02 × 64,739.72
  4. Step 4: Simplify right side
    233,218.68x = 22,649,386,555.95
  5. Step 5: Solve for x
    x = 22,649,386,555.95/233,218.68
  6. Step 6: Final answer
    x = 97,116.52

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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.