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Finding the Fourth Proportional to 147,586.50, 221,401.35 and 47,713.50

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Solution

The fourth proportional to 147,586.50, 221,401.35 and 47,713.50 is: 71,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,586.50 : 221,401.35 = 47,713.50 : x
  2. Step 2: Convert to fraction form
    147,586.50/221,401.35 = 47,713.50/x
  3. Step 3: Cross multiply
    147,586.50x = 221,401.35 × 47,713.50
  4. Step 4: Simplify right side
    147,586.50x = 10,563,833,313.23
  5. Step 5: Solve for x
    x = 10,563,833,313.23/147,586.50
  6. Step 6: Final answer
    x = 71,577.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.