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Finding the Fourth Proportional to 278,000.30, 417,000.45 and 165,807.20

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Solution

The fourth proportional to 278,000.30, 417,000.45 and 165,807.20 is: 248,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,000.30 : 417,000.45 = 165,807.20 : x
  2. Step 2: Convert to fraction form
    278,000.30/417,000.45 = 165,807.20/x
  3. Step 3: Cross multiply
    278,000.30x = 417,000.45 × 165,807.20
  4. Step 4: Simplify right side
    278,000.30x = 69,141,677,013.24
  5. Step 5: Solve for x
    x = 69,141,677,013.24/278,000.30
  6. Step 6: Final answer
    x = 248,710.80

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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.