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Finding the Fourth Proportional to 149,808.90, 224,713.35 and 134,775.30

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Solution

The fourth proportional to 149,808.90, 224,713.35 and 134,775.30 is: 202,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,808.90 : 224,713.35 = 134,775.30 : x
  2. Step 2: Convert to fraction form
    149,808.90/224,713.35 = 134,775.30/x
  3. Step 3: Cross multiply
    149,808.90x = 224,713.35 × 134,775.30
  4. Step 4: Simplify right side
    149,808.90x = 30,285,809,160.26
  5. Step 5: Solve for x
    x = 30,285,809,160.26/149,808.90
  6. Step 6: Final answer
    x = 202,162.95

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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.