Home / 205,011.42-282,928.86-114,381.06

Finding the Fourth Proportional to 205,011.42, 282,928.86 and 114,381.06

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Solution

The fourth proportional to 205,011.42, 282,928.86 and 114,381.06 is: 157,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,011.42 : 282,928.86 = 114,381.06 : x
  2. Step 2: Convert to fraction form
    205,011.42/282,928.86 = 114,381.06/x
  3. Step 3: Cross multiply
    205,011.42x = 282,928.86 × 114,381.06
  4. Step 4: Simplify right side
    205,011.42x = 32,361,702,911.39
  5. Step 5: Solve for x
    x = 32,361,702,911.39/205,011.42
  6. Step 6: Final answer
    x = 157,853.17

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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.