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Finding the Fourth Proportional to 105,141.29, 144,726.68 and 91,688.81

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Solution

The fourth proportional to 105,141.29, 144,726.68 and 91,688.81 is: 126,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,141.29 : 144,726.68 = 91,688.81 : x
  2. Step 2: Convert to fraction form
    105,141.29/144,726.68 = 91,688.81/x
  3. Step 3: Cross multiply
    105,141.29x = 144,726.68 × 91,688.81
  4. Step 4: Simplify right side
    105,141.29x = 13,269,816,570.04
  5. Step 5: Solve for x
    x = 13,269,816,570.04/105,141.29
  6. Step 6: Final answer
    x = 126,209.38

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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.