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Finding the Fourth Proportional to 201,856.40, 302,784.60 and 138,870.80

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Solution

The fourth proportional to 201,856.40, 302,784.60 and 138,870.80 is: 208,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.40 : 302,784.60 = 138,870.80 : x
  2. Step 2: Convert to fraction form
    201,856.40/302,784.60 = 138,870.80/x
  3. Step 3: Cross multiply
    201,856.40x = 302,784.60 × 138,870.80
  4. Step 4: Simplify right side
    201,856.40x = 42,047,939,629.68
  5. Step 5: Solve for x
    x = 42,047,939,629.68/201,856.40
  6. Step 6: Final answer
    x = 208,306.20

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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.