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Finding the Fourth Proportional to 207,165.20, 310,978.20 and 128,368.40

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Solution

The fourth proportional to 207,165.20, 310,978.20 and 128,368.40 is: 192,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,165.20 : 310,978.20 = 128,368.40 : x
  2. Step 2: Convert to fraction form
    207,165.20/310,978.20 = 128,368.40/x
  3. Step 3: Cross multiply
    207,165.20x = 310,978.20 × 128,368.40
  4. Step 4: Simplify right side
    207,165.20x = 39,919,773,968.88
  5. Step 5: Solve for x
    x = 39,919,773,968.88/207,165.20
  6. Step 6: Final answer
    x = 192,695.37

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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.