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Finding the Fourth Proportional to 232,200.89, 320,140.59 and 150,384.59

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Solution

The fourth proportional to 232,200.89, 320,140.59 and 150,384.59 is: 207,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,200.89 : 320,140.59 = 150,384.59 : x
  2. Step 2: Convert to fraction form
    232,200.89/320,140.59 = 150,384.59/x
  3. Step 3: Cross multiply
    232,200.89x = 320,140.59 × 150,384.59
  4. Step 4: Simplify right side
    232,200.89x = 48,144,211,369.51
  5. Step 5: Solve for x
    x = 48,144,211,369.51/232,200.89
  6. Step 6: Final answer
    x = 207,338.62

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1.5x scale

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.