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Finding the Fourth Proportional to 146,572.70, 205,616.50 and 146,572.70

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Solution

The fourth proportional to 146,572.70, 205,616.50 and 146,572.70 is: 205,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,572.70 : 205,616.50 = 146,572.70 : x
  2. Step 2: Convert to fraction form
    146,572.70/205,616.50 = 146,572.70/x
  3. Step 3: Cross multiply
    146,572.70x = 205,616.50 × 146,572.70
  4. Step 4: Simplify right side
    146,572.70x = 30,137,765,569.55
  5. Step 5: Solve for x
    x = 30,137,765,569.55/146,572.70
  6. Step 6: Final answer
    x = 205,616.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.