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Finding the Fourth Proportional to 320,115.66, 480,302.58 and 142,501.20

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Solution

The fourth proportional to 320,115.66, 480,302.58 and 142,501.20 is: 213,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,115.66 : 480,302.58 = 142,501.20 : x
  2. Step 2: Convert to fraction form
    320,115.66/480,302.58 = 142,501.20/x
  3. Step 3: Cross multiply
    320,115.66x = 480,302.58 × 142,501.20
  4. Step 4: Simplify right side
    320,115.66x = 68,443,694,013.10
  5. Step 5: Solve for x
    x = 68,443,694,013.10/320,115.66
  6. Step 6: Final answer
    x = 213,809.27

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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.