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Finding the Fourth Proportional to 242,812.28, 335,292.50 and 152,323.79

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Solution

The fourth proportional to 242,812.28, 335,292.50 and 152,323.79 is: 210,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,812.28 : 335,292.50 = 152,323.79 : x
  2. Step 2: Convert to fraction form
    242,812.28/335,292.50 = 152,323.79/x
  3. Step 3: Cross multiply
    242,812.28x = 335,292.50 × 152,323.79
  4. Step 4: Simplify right side
    242,812.28x = 51,073,024,734.74
  5. Step 5: Solve for x
    x = 51,073,024,734.74/242,812.28
  6. Step 6: Final answer
    x = 210,339.54

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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.