Home / 205,014.24-282,923.28-114,372

Finding the Fourth Proportional to 205,014.24, 282,923.28 and 114,372

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Solution

The fourth proportional to 205,014.24, 282,923.28 and 114,372 is: 157,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,014.24 : 282,923.28 = 114,372 : x
  2. Step 2: Convert to fraction form
    205,014.24/282,923.28 = 114,372/x
  3. Step 3: Cross multiply
    205,014.24x = 282,923.28 × 114,372
  4. Step 4: Simplify right side
    205,014.24x = 32,358,501,380.16
  5. Step 5: Solve for x
    x = 32,358,501,380.16/205,014.24
  6. Step 6: Final answer
    x = 157,835.38

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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.