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Finding the Fourth Proportional to 239,698.72, 359,202.88 and 164,903.32

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Solution

The fourth proportional to 239,698.72, 359,202.88 and 164,903.32 is: 247,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,698.72 : 359,202.88 = 164,903.32 : x
  2. Step 2: Convert to fraction form
    239,698.72/359,202.88 = 164,903.32/x
  3. Step 3: Cross multiply
    239,698.72x = 359,202.88 × 164,903.32
  4. Step 4: Simplify right side
    239,698.72x = 59,233,747,465.56
  5. Step 5: Solve for x
    x = 59,233,747,465.56/239,698.72
  6. Step 6: Final answer
    x = 247,117.50

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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.