Home / 205,042.90-282,967.41-114,406.78

Finding the Fourth Proportional to 205,042.90, 282,967.41 and 114,406.78

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Solution

The fourth proportional to 205,042.90, 282,967.41 and 114,406.78 is: 157,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,042.90 : 282,967.41 = 114,406.78 : x
  2. Step 2: Convert to fraction form
    205,042.90/282,967.41 = 114,406.78/x
  3. Step 3: Cross multiply
    205,042.90x = 282,967.41 × 114,406.78
  4. Step 4: Simplify right side
    205,042.90x = 32,373,390,223.04
  5. Step 5: Solve for x
    x = 32,373,390,223.04/205,042.90
  6. Step 6: Final answer
    x = 157,885.94

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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.