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Finding the Fourth Proportional to 103,614.92, 142,368.93 and 82,357.28

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Solution

The fourth proportional to 103,614.92, 142,368.93 and 82,357.28 is: 113,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614.92 : 142,368.93 = 82,357.28 : x
  2. Step 2: Convert to fraction form
    103,614.92/142,368.93 = 82,357.28/x
  3. Step 3: Cross multiply
    103,614.92x = 142,368.93 × 82,357.28
  4. Step 4: Simplify right side
    103,614.92x = 11,725,117,831.31
  5. Step 5: Solve for x
    x = 11,725,117,831.31/103,614.92
  6. Step 6: Final answer
    x = 113,160.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.