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Finding the Fourth Proportional to 133,871.76, 200,743.00 and 77,726.03

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Solution

The fourth proportional to 133,871.76, 200,743.00 and 77,726.03 is: 116,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,871.76 : 200,743.00 = 77,726.03 : x
  2. Step 2: Convert to fraction form
    133,871.76/200,743.00 = 77,726.03/x
  3. Step 3: Cross multiply
    133,871.76x = 200,743.00 × 77,726.03
  4. Step 4: Simplify right side
    133,871.76x = 15,602,955,242.26
  5. Step 5: Solve for x
    x = 15,602,955,242.26/133,871.76
  6. Step 6: Final answer
    x = 116,551.51

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Why These Related Problems?

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