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Finding the Fourth Proportional to 102,448.39, 141,295.21 and 86,032.21

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Solution

The fourth proportional to 102,448.39, 141,295.21 and 86,032.21 is: 118,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,448.39 : 141,295.21 = 86,032.21 : x
  2. Step 2: Convert to fraction form
    102,448.39/141,295.21 = 86,032.21/x
  3. Step 3: Cross multiply
    102,448.39x = 141,295.21 × 86,032.21
  4. Step 4: Simplify right side
    102,448.39x = 12,155,939,178.71
  5. Step 5: Solve for x
    x = 12,155,939,178.71/102,448.39
  6. Step 6: Final answer
    x = 118,654.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.