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Finding the Fourth Proportional to 207,153.40, 310,730.10 and 82,430.20

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Solution

The fourth proportional to 207,153.40, 310,730.10 and 82,430.20 is: 123,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,153.40 : 310,730.10 = 82,430.20 : x
  2. Step 2: Convert to fraction form
    207,153.40/310,730.10 = 82,430.20/x
  3. Step 3: Cross multiply
    207,153.40x = 310,730.10 × 82,430.20
  4. Step 4: Simplify right side
    207,153.40x = 25,613,544,289.02
  5. Step 5: Solve for x
    x = 25,613,544,289.02/207,153.40
  6. Step 6: Final answer
    x = 123,645.30

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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.