Home / 205,903.17-284,142.81-114,020.63

Finding the Fourth Proportional to 205,903.17, 284,142.81 and 114,020.63

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Solution

The fourth proportional to 205,903.17, 284,142.81 and 114,020.63 is: 157,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,903.17 : 284,142.81 = 114,020.63 : x
  2. Step 2: Convert to fraction form
    205,903.17/284,142.81 = 114,020.63/x
  3. Step 3: Cross multiply
    205,903.17x = 284,142.81 × 114,020.63
  4. Step 4: Simplify right side
    205,903.17x = 32,398,141,476.86
  5. Step 5: Solve for x
    x = 32,398,141,476.86/205,903.17
  6. Step 6: Final answer
    x = 157,346.49

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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.