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Finding the Fourth Proportional to 105,307.39, 157,920.59 and 82,862.24

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Solution

The fourth proportional to 105,307.39, 157,920.59 and 82,862.24 is: 124,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,307.39 : 157,920.59 = 82,862.24 : x
  2. Step 2: Convert to fraction form
    105,307.39/157,920.59 = 82,862.24/x
  3. Step 3: Cross multiply
    105,307.39x = 157,920.59 × 82,862.24
  4. Step 4: Simplify right side
    105,307.39x = 13,085,653,669.28
  5. Step 5: Solve for x
    x = 13,085,653,669.28/105,307.39
  6. Step 6: Final answer
    x = 124,261.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.