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Finding the Fourth Proportional to 154,972.94, 232,454.84 and 65,063.54

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Solution

The fourth proportional to 154,972.94, 232,454.84 and 65,063.54 is: 97,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,972.94 : 232,454.84 = 65,063.54 : x
  2. Step 2: Convert to fraction form
    154,972.94/232,454.84 = 65,063.54/x
  3. Step 3: Cross multiply
    154,972.94x = 232,454.84 × 65,063.54
  4. Step 4: Simplify right side
    154,972.94x = 15,124,333,292.94
  5. Step 5: Solve for x
    x = 15,124,333,292.94/154,972.94
  6. Step 6: Final answer
    x = 97,593.38

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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.