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Finding the Fourth Proportional to 233,300.64, 350,006.48 and 75,529.12

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Solution

The fourth proportional to 233,300.64, 350,006.48 and 75,529.12 is: 113,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,300.64 : 350,006.48 = 75,529.12 : x
  2. Step 2: Convert to fraction form
    233,300.64/350,006.48 = 75,529.12/x
  3. Step 3: Cross multiply
    233,300.64x = 350,006.48 × 75,529.12
  4. Step 4: Simplify right side
    233,300.64x = 26,435,681,428.70
  5. Step 5: Solve for x
    x = 26,435,681,428.70/233,300.64
  6. Step 6: Final answer
    x = 113,311.65

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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.