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Finding the Fourth Proportional to 233,585.52, 350,156.61 and 75,703.02

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Solution

The fourth proportional to 233,585.52, 350,156.61 and 75,703.02 is: 113,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,585.52 : 350,156.61 = 75,703.02 : x
  2. Step 2: Convert to fraction form
    233,585.52/350,156.61 = 75,703.02/x
  3. Step 3: Cross multiply
    233,585.52x = 350,156.61 × 75,703.02
  4. Step 4: Simplify right side
    233,585.52x = 26,507,912,849.96
  5. Step 5: Solve for x
    x = 26,507,912,849.96/233,585.52
  6. Step 6: Final answer
    x = 113,482.69

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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.