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Finding the Fourth Proportional to 147,974.40, 221,961.60 and 64,868.40

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Solution

The fourth proportional to 147,974.40, 221,961.60 and 64,868.40 is: 97,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,974.40 : 221,961.60 = 64,868.40 : x
  2. Step 2: Convert to fraction form
    147,974.40/221,961.60 = 64,868.40/x
  3. Step 3: Cross multiply
    147,974.40x = 221,961.60 × 64,868.40
  4. Step 4: Simplify right side
    147,974.40x = 14,398,293,853.44
  5. Step 5: Solve for x
    x = 14,398,293,853.44/147,974.40
  6. Step 6: Final answer
    x = 97,302.60

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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.