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Finding the Fourth Proportional to 155,241.88, 232,953.18 and 65,278.09

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Solution

The fourth proportional to 155,241.88, 232,953.18 and 65,278.09 is: 97,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,241.88 : 232,953.18 = 65,278.09 : x
  2. Step 2: Convert to fraction form
    155,241.88/232,953.18 = 65,278.09/x
  3. Step 3: Cross multiply
    155,241.88x = 232,953.18 × 65,278.09
  4. Step 4: Simplify right side
    155,241.88x = 15,206,738,649.83
  5. Step 5: Solve for x
    x = 15,206,738,649.83/155,241.88
  6. Step 6: Final answer
    x = 97,955.13

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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.