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Finding the Fourth Proportional to 147,969.40, 221,954.10 and 64,863.40

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Solution

The fourth proportional to 147,969.40, 221,954.10 and 64,863.40 is: 97,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,969.40 : 221,954.10 = 64,863.40 : x
  2. Step 2: Convert to fraction form
    147,969.40/221,954.10 = 64,863.40/x
  3. Step 3: Cross multiply
    147,969.40x = 221,954.10 × 64,863.40
  4. Step 4: Simplify right side
    147,969.40x = 14,396,697,569.94
  5. Step 5: Solve for x
    x = 14,396,697,569.94/147,969.40
  6. Step 6: Final answer
    x = 97,295.10

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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.