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Finding the Fourth Proportional to 147,648.64, 221,508.22 and 47,808.94

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Solution

The fourth proportional to 147,648.64, 221,508.22 and 47,808.94 is: 71,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,648.64 : 221,508.22 = 47,808.94 : x
  2. Step 2: Convert to fraction form
    147,648.64/221,508.22 = 47,808.94/x
  3. Step 3: Cross multiply
    147,648.64x = 221,508.22 × 47,808.94
  4. Step 4: Simplify right side
    147,648.64x = 10,590,073,199.49
  5. Step 5: Solve for x
    x = 10,590,073,199.49/147,648.64
  6. Step 6: Final answer
    x = 71,724.83

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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.