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Finding the Fourth Proportional to 182,807.78, 274,237.65 and 56,458.31

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Solution

The fourth proportional to 182,807.78, 274,237.65 and 56,458.31 is: 84,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,807.78 : 274,237.65 = 56,458.31 : x
  2. Step 2: Convert to fraction form
    182,807.78/274,237.65 = 56,458.31/x
  3. Step 3: Cross multiply
    182,807.78x = 274,237.65 × 56,458.31
  4. Step 4: Simplify right side
    182,807.78x = 15,482,992,886.18
  5. Step 5: Solve for x
    x = 15,482,992,886.18/182,807.78
  6. Step 6: Final answer
    x = 84,695.48

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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.