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Finding the Fourth Proportional to 152,895.20, 228,889.20 and 113,626.40

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Solution

The fourth proportional to 152,895.20, 228,889.20 and 113,626.40 is: 170,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,895.20 : 228,889.20 = 113,626.40 : x
  2. Step 2: Convert to fraction form
    152,895.20/228,889.20 = 113,626.40/x
  3. Step 3: Cross multiply
    152,895.20x = 228,889.20 × 113,626.40
  4. Step 4: Simplify right side
    152,895.20x = 26,007,855,794.88
  5. Step 5: Solve for x
    x = 26,007,855,794.88/152,895.20
  6. Step 6: Final answer
    x = 170,102.50

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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.