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Finding the Fourth Proportional to 242,834.98, 335,323.76 and 152,346.50

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Solution

The fourth proportional to 242,834.98, 335,323.76 and 152,346.50 is: 210,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,834.98 : 335,323.76 = 152,346.50 : x
  2. Step 2: Convert to fraction form
    242,834.98/335,323.76 = 152,346.50/x
  3. Step 3: Cross multiply
    242,834.98x = 335,323.76 × 152,346.50
  4. Step 4: Simplify right side
    242,834.98x = 51,085,401,202.84
  5. Step 5: Solve for x
    x = 51,085,401,202.84/242,834.98
  6. Step 6: Final answer
    x = 210,370.85

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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.