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Finding the Fourth Proportional to 121,146, 181,726.29 and 38,040

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Solution

The fourth proportional to 121,146, 181,726.29 and 38,040 is: 57,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146 : 181,726.29 = 38,040 : x
  2. Step 2: Convert to fraction form
    121,146/181,726.29 = 38,040/x
  3. Step 3: Cross multiply
    121,146x = 181,726.29 × 38,040
  4. Step 4: Simplify right side
    121,146x = 6,912,868,071.60
  5. Step 5: Solve for x
    x = 6,912,868,071.60/121,146
  6. Step 6: Final answer
    x = 57,062.29

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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.