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Finding the Fourth Proportional to 155,716, 214,888.32 and 88,648

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Solution

The fourth proportional to 155,716, 214,888.32 and 88,648 is: 122,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,716 : 214,888.32 = 88,648 : x
  2. Step 2: Convert to fraction form
    155,716/214,888.32 = 88,648/x
  3. Step 3: Cross multiply
    155,716x = 214,888.32 × 88,648
  4. Step 4: Simplify right side
    155,716x = 19,049,419,791.36
  5. Step 5: Solve for x
    x = 19,049,419,791.36/155,716
  6. Step 6: Final answer
    x = 122,334.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.