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Finding the Fourth Proportional to 309,225.60, 463,881.60 and 131,731.20

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Solution

The fourth proportional to 309,225.60, 463,881.60 and 131,731.20 is: 197,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,225.60 : 463,881.60 = 131,731.20 : x
  2. Step 2: Convert to fraction form
    309,225.60/463,881.60 = 131,731.20/x
  3. Step 3: Cross multiply
    309,225.60x = 463,881.60 × 131,731.20
  4. Step 4: Simplify right side
    309,225.60x = 61,107,679,825.92
  5. Step 5: Solve for x
    x = 61,107,679,825.92/309,225.60
  6. Step 6: Final answer
    x = 197,615.20

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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.