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Finding the Fourth Proportional to 202,154.40, 302,713.20 and 149,277.60

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Solution

The fourth proportional to 202,154.40, 302,713.20 and 149,277.60 is: 223,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154.40 : 302,713.20 = 149,277.60 : x
  2. Step 2: Convert to fraction form
    202,154.40/302,713.20 = 149,277.60/x
  3. Step 3: Cross multiply
    202,154.40x = 302,713.20 × 149,277.60
  4. Step 4: Simplify right side
    202,154.40x = 45,188,299,984.32
  5. Step 5: Solve for x
    x = 45,188,299,984.32/202,154.40
  6. Step 6: Final answer
    x = 223,533.60

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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.