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Finding the Fourth Proportional to 201,870.90, 302,806.35 and 138,885.30

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Solution

The fourth proportional to 201,870.90, 302,806.35 and 138,885.30 is: 208,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870.90 : 302,806.35 = 138,885.30 : x
  2. Step 2: Convert to fraction form
    201,870.90/302,806.35 = 138,885.30/x
  3. Step 3: Cross multiply
    201,870.90x = 302,806.35 × 138,885.30
  4. Step 4: Simplify right side
    201,870.90x = 42,055,350,761.66
  5. Step 5: Solve for x
    x = 42,055,350,761.66/201,870.90
  6. Step 6: Final answer
    x = 208,327.95

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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.