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Finding the Fourth Proportional to 163,315.71, 244,545.89 and 106,978.59

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Solution

The fourth proportional to 163,315.71, 244,545.89 and 106,978.59 is: 160,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,315.71 : 244,545.89 = 106,978.59 : x
  2. Step 2: Convert to fraction form
    163,315.71/244,545.89 = 106,978.59/x
  3. Step 3: Cross multiply
    163,315.71x = 244,545.89 × 106,978.59
  4. Step 4: Simplify right side
    163,315.71x = 26,161,173,967.60
  5. Step 5: Solve for x
    x = 26,161,173,967.60/163,315.71
  6. Step 6: Final answer
    x = 160,187.74

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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.