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Finding the Fourth Proportional to 147,803.70, 221,738.31 and 42,614.46

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Solution

The fourth proportional to 147,803.70, 221,738.31 and 42,614.46 is: 63,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,803.70 : 221,738.31 = 42,614.46 : x
  2. Step 2: Convert to fraction form
    147,803.70/221,738.31 = 42,614.46/x
  3. Step 3: Cross multiply
    147,803.70x = 221,738.31 × 42,614.46
  4. Step 4: Simplify right side
    147,803.70x = 9,449,258,341.96
  5. Step 5: Solve for x
    x = 9,449,258,341.96/147,803.70
  6. Step 6: Final answer
    x = 63,931.14

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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.