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Finding the Fourth Proportional to 147,447, 221,170.50 and 48,951

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Solution

The fourth proportional to 147,447, 221,170.50 and 48,951 is: 73,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,447 : 221,170.50 = 48,951 : x
  2. Step 2: Convert to fraction form
    147,447/221,170.50 = 48,951/x
  3. Step 3: Cross multiply
    147,447x = 221,170.50 × 48,951
  4. Step 4: Simplify right side
    147,447x = 10,826,517,145.50
  5. Step 5: Solve for x
    x = 10,826,517,145.50/147,447
  6. Step 6: Final answer
    x = 73,426.50

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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.