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Finding the Fourth Proportional to 163,538.20, 245,315.40 and 84,806.20

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Solution

The fourth proportional to 163,538.20, 245,315.40 and 84,806.20 is: 127,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,538.20 : 245,315.40 = 84,806.20 : x
  2. Step 2: Convert to fraction form
    163,538.20/245,315.40 = 84,806.20/x
  3. Step 3: Cross multiply
    163,538.20x = 245,315.40 × 84,806.20
  4. Step 4: Simplify right side
    163,538.20x = 20,804,266,875.48
  5. Step 5: Solve for x
    x = 20,804,266,875.48/163,538.20
  6. Step 6: Final answer
    x = 127,213.50

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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.