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Finding the Fourth Proportional to 301,871.04, 452,822.05 and 77,233.41

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Solution

The fourth proportional to 301,871.04, 452,822.05 and 77,233.41 is: 115,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,871.04 : 452,822.05 = 77,233.41 : x
  2. Step 2: Convert to fraction form
    301,871.04/452,822.05 = 77,233.41/x
  3. Step 3: Cross multiply
    301,871.04x = 452,822.05 × 77,233.41
  4. Step 4: Simplify right side
    301,871.04x = 34,972,991,044.69
  5. Step 5: Solve for x
    x = 34,972,991,044.69/301,871.04
  6. Step 6: Final answer
    x = 115,854.08

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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.