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Finding the Fourth Proportional to 163,807.29, 245,710.71 and 51,497.33

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Solution

The fourth proportional to 163,807.29, 245,710.71 and 51,497.33 is: 77,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,807.29 : 245,710.71 = 51,497.33 : x
  2. Step 2: Convert to fraction form
    163,807.29/245,710.71 = 51,497.33/x
  3. Step 3: Cross multiply
    163,807.29x = 245,710.71 × 51,497.33
  4. Step 4: Simplify right side
    163,807.29x = 12,653,445,517.40
  5. Step 5: Solve for x
    x = 12,653,445,517.40/163,807.29
  6. Step 6: Final answer
    x = 77,245.92

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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.