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Finding the Fourth Proportional to 155,242.77, 232,954.53 and 65,278.98

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Solution

The fourth proportional to 155,242.77, 232,954.53 and 65,278.98 is: 97,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,242.77 : 232,954.53 = 65,278.98 : x
  2. Step 2: Convert to fraction form
    155,242.77/232,954.53 = 65,278.98/x
  3. Step 3: Cross multiply
    155,242.77x = 232,954.53 × 65,278.98
  4. Step 4: Simplify right side
    155,242.77x = 15,207,034,104.78
  5. Step 5: Solve for x
    x = 15,207,034,104.78/155,242.77
  6. Step 6: Final answer
    x = 97,956.47

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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.