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Finding the Fourth Proportional to 104,413, 144,090.12 and 59,701

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Solution

The fourth proportional to 104,413, 144,090.12 and 59,701 is: 82,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,413 : 144,090.12 = 59,701 : x
  2. Step 2: Convert to fraction form
    104,413/144,090.12 = 59,701/x
  3. Step 3: Cross multiply
    104,413x = 144,090.12 × 59,701
  4. Step 4: Simplify right side
    104,413x = 8,602,324,254.12
  5. Step 5: Solve for x
    x = 8,602,324,254.12/104,413
  6. Step 6: Final answer
    x = 82,387.48

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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.