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Finding the Fourth Proportional to 163,870.71, 245,952.58 and 83,963.19

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Solution

The fourth proportional to 163,870.71, 245,952.58 and 83,963.19 is: 126,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,870.71 : 245,952.58 = 83,963.19 : x
  2. Step 2: Convert to fraction form
    163,870.71/245,952.58 = 83,963.19/x
  3. Step 3: Cross multiply
    163,870.71x = 245,952.58 × 83,963.19
  4. Step 4: Simplify right side
    163,870.71x = 20,650,963,205.53
  5. Step 5: Solve for x
    x = 20,650,963,205.53/163,870.71
  6. Step 6: Final answer
    x = 126,019.86

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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.