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Finding the Fourth Proportional to 262,062.51, 361,646.13 and 148,885.26

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Solution

The fourth proportional to 262,062.51, 361,646.13 and 148,885.26 is: 205,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,062.51 : 361,646.13 = 148,885.26 : x
  2. Step 2: Convert to fraction form
    262,062.51/361,646.13 = 148,885.26/x
  3. Step 3: Cross multiply
    262,062.51x = 361,646.13 × 148,885.26
  4. Step 4: Simplify right side
    262,062.51x = 53,843,778,093.04
  5. Step 5: Solve for x
    x = 53,843,778,093.04/262,062.51
  6. Step 6: Final answer
    x = 205,461.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.