Home / 204,938.32-282,814.68-114,302.32

Finding the Fourth Proportional to 204,938.32, 282,814.68 and 114,302.32

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Solution

The fourth proportional to 204,938.32, 282,814.68 and 114,302.32 is: 157,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,938.32 : 282,814.68 = 114,302.32 : x
  2. Step 2: Convert to fraction form
    204,938.32/282,814.68 = 114,302.32/x
  3. Step 3: Cross multiply
    204,938.32x = 282,814.68 × 114,302.32
  4. Step 4: Simplify right side
    204,938.32x = 32,326,374,054.06
  5. Step 5: Solve for x
    x = 32,326,374,054.06/204,938.32
  6. Step 6: Final answer
    x = 157,737.09

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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.