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Finding the Fourth Proportional to 233,134.56, 321,776.56 and 148,235.04

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Solution

The fourth proportional to 233,134.56, 321,776.56 and 148,235.04 is: 204,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,134.56 : 321,776.56 = 148,235.04 : x
  2. Step 2: Convert to fraction form
    233,134.56/321,776.56 = 148,235.04/x
  3. Step 3: Cross multiply
    233,134.56x = 321,776.56 × 148,235.04
  4. Step 4: Simplify right side
    233,134.56x = 47,698,561,242.66
  5. Step 5: Solve for x
    x = 47,698,561,242.66/233,134.56
  6. Step 6: Final answer
    x = 204,596.70

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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.