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Finding the Fourth Proportional to 252,001.40, 378,002.10 and 205,345.40

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Solution

The fourth proportional to 252,001.40, 378,002.10 and 205,345.40 is: 308,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,001.40 : 378,002.10 = 205,345.40 : x
  2. Step 2: Convert to fraction form
    252,001.40/378,002.10 = 205,345.40/x
  3. Step 3: Cross multiply
    252,001.40x = 378,002.10 × 205,345.40
  4. Step 4: Simplify right side
    252,001.40x = 77,620,992,425.34
  5. Step 5: Solve for x
    x = 77,620,992,425.34/252,001.40
  6. Step 6: Final answer
    x = 308,018.10

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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.