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Finding the Fourth Proportional to 121,140, 181,717.29 and 38,034

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Solution

The fourth proportional to 121,140, 181,717.29 and 38,034 is: 57,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,140 : 181,717.29 = 38,034 : x
  2. Step 2: Convert to fraction form
    121,140/181,717.29 = 38,034/x
  3. Step 3: Cross multiply
    121,140x = 181,717.29 × 38,034
  4. Step 4: Simplify right side
    121,140x = 6,911,435,407.86
  5. Step 5: Solve for x
    x = 6,911,435,407.86/121,140
  6. Step 6: Final answer
    x = 57,053.29

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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.