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Finding the Fourth Proportional to 147,804, 221,741.10 and 47,964.48

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Solution

The fourth proportional to 147,804, 221,741.10 and 47,964.48 is: 71,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804 : 221,741.10 = 47,964.48 : x
  2. Step 2: Convert to fraction form
    147,804/221,741.10 = 47,964.48/x
  3. Step 3: Cross multiply
    147,804x = 221,741.10 × 47,964.48
  4. Step 4: Simplify right side
    147,804x = 10,635,696,556.13
  5. Step 5: Solve for x
    x = 10,635,696,556.13/147,804
  6. Step 6: Final answer
    x = 71,958.11

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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.