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Finding the Fourth Proportional to 96,266, 144,457.32 and 40,862

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Solution

The fourth proportional to 96,266, 144,457.32 and 40,862 is: 61,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,266 : 144,457.32 = 40,862 : x
  2. Step 2: Convert to fraction form
    96,266/144,457.32 = 40,862/x
  3. Step 3: Cross multiply
    96,266x = 144,457.32 × 40,862
  4. Step 4: Simplify right side
    96,266x = 5,902,815,009.84
  5. Step 5: Solve for x
    x = 5,902,815,009.84/96,266
  6. Step 6: Final answer
    x = 61,317.76

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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.