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Finding the Fourth Proportional to 159,505.20, 239,258.16 and 149,762.16

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Solution

The fourth proportional to 159,505.20, 239,258.16 and 149,762.16 is: 224,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,505.20 : 239,258.16 = 149,762.16 : x
  2. Step 2: Convert to fraction form
    159,505.20/239,258.16 = 149,762.16/x
  3. Step 3: Cross multiply
    159,505.20x = 239,258.16 × 149,762.16
  4. Step 4: Simplify right side
    159,505.20x = 35,831,818,839.23
  5. Step 5: Solve for x
    x = 35,831,818,839.23/159,505.20
  6. Step 6: Final answer
    x = 224,643.58

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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.