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Finding the Fourth Proportional to 320,061.12, 480,119.04 and 83,403.84

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Solution

The fourth proportional to 320,061.12, 480,119.04 and 83,403.84 is: 125,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,061.12 : 480,119.04 = 83,403.84 : x
  2. Step 2: Convert to fraction form
    320,061.12/480,119.04 = 83,403.84/x
  3. Step 3: Cross multiply
    320,061.12x = 480,119.04 × 83,403.84
  4. Step 4: Simplify right side
    320,061.12x = 40,043,771,593.11
  5. Step 5: Solve for x
    x = 40,043,771,593.11/320,061.12
  6. Step 6: Final answer
    x = 125,112.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.