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Finding the Fourth Proportional to 121,297.40, 181,946.10 and 65,115.80

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Solution

The fourth proportional to 121,297.40, 181,946.10 and 65,115.80 is: 97,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,297.40 : 181,946.10 = 65,115.80 : x
  2. Step 2: Convert to fraction form
    121,297.40/181,946.10 = 65,115.80/x
  3. Step 3: Cross multiply
    121,297.40x = 181,946.10 × 65,115.80
  4. Step 4: Simplify right side
    121,297.40x = 11,847,565,858.38
  5. Step 5: Solve for x
    x = 11,847,565,858.38/121,297.40
  6. Step 6: Final answer
    x = 97,673.70

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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.