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Finding the Fourth Proportional to 163,807.31, 245,710.77 and 51,497.34

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Solution

The fourth proportional to 163,807.31, 245,710.77 and 51,497.34 is: 77,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,807.31 : 245,710.77 = 51,497.34 : x
  2. Step 2: Convert to fraction form
    163,807.31/245,710.77 = 51,497.34/x
  3. Step 3: Cross multiply
    163,807.31x = 245,710.77 × 51,497.34
  4. Step 4: Simplify right side
    163,807.31x = 12,653,449,949.82
  5. Step 5: Solve for x
    x = 12,653,449,949.82/163,807.31
  6. Step 6: Final answer
    x = 77,245.94

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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.