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Finding the Fourth Proportional to 121,113, 181,675.98 and 38,013.48

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Solution

The fourth proportional to 121,113, 181,675.98 and 38,013.48 is: 57,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,113 : 181,675.98 = 38,013.48 : x
  2. Step 2: Convert to fraction form
    121,113/181,675.98 = 38,013.48/x
  3. Step 3: Cross multiply
    121,113x = 181,675.98 × 38,013.48
  4. Step 4: Simplify right side
    121,113x = 6,906,136,232.21
  5. Step 5: Solve for x
    x = 6,906,136,232.21/121,113
  6. Step 6: Final answer
    x = 57,022.25

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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.