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Finding the Fourth Proportional to 233,987.95, 322,903.02 and 126,557.65

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Solution

The fourth proportional to 233,987.95, 322,903.02 and 126,557.65 is: 174,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,987.95 : 322,903.02 = 126,557.65 : x
  2. Step 2: Convert to fraction form
    233,987.95/322,903.02 = 126,557.65/x
  3. Step 3: Cross multiply
    233,987.95x = 322,903.02 × 126,557.65
  4. Step 4: Simplify right side
    233,987.95x = 40,865,847,389.10
  5. Step 5: Solve for x
    x = 40,865,847,389.10/233,987.95
  6. Step 6: Final answer
    x = 174,649.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.