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Finding the Fourth Proportional to 151,045.68, 208,448.32 and 83,065.44

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Solution

The fourth proportional to 151,045.68, 208,448.32 and 83,065.44 is: 114,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,045.68 : 208,448.32 = 83,065.44 : x
  2. Step 2: Convert to fraction form
    151,045.68/208,448.32 = 83,065.44/x
  3. Step 3: Cross multiply
    151,045.68x = 208,448.32 × 83,065.44
  4. Step 4: Simplify right side
    151,045.68x = 17,314,851,418.06
  5. Step 5: Solve for x
    x = 17,314,851,418.06/151,045.68
  6. Step 6: Final answer
    x = 114,633.21

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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.