Home / 205,919.45-284,154.95-114,032.14

Finding the Fourth Proportional to 205,919.45, 284,154.95 and 114,032.14

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Solution

The fourth proportional to 205,919.45, 284,154.95 and 114,032.14 is: 157,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,919.45 : 284,154.95 = 114,032.14 : x
  2. Step 2: Convert to fraction form
    205,919.45/284,154.95 = 114,032.14/x
  3. Step 3: Cross multiply
    205,919.45x = 284,154.95 × 114,032.14
  4. Step 4: Simplify right side
    205,919.45x = 32,402,797,040.09
  5. Step 5: Solve for x
    x = 32,402,797,040.09/205,919.45
  6. Step 6: Final answer
    x = 157,356.66

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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.