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Finding the Fourth Proportional to 320,155.07, 480,232.53 and 83,497.10

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Solution

The fourth proportional to 320,155.07, 480,232.53 and 83,497.10 is: 125,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,155.07 : 480,232.53 = 83,497.10 : x
  2. Step 2: Convert to fraction form
    320,155.07/480,232.53 = 83,497.10/x
  3. Step 3: Cross multiply
    320,155.07x = 480,232.53 × 83,497.10
  4. Step 4: Simplify right side
    320,155.07x = 40,098,021,179.50
  5. Step 5: Solve for x
    x = 40,098,021,179.50/320,155.07
  6. Step 6: Final answer
    x = 125,245.62

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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.