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Finding the Fourth Proportional to 301,870.54, 452,821.30 and 77,232.91

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Solution

The fourth proportional to 301,870.54, 452,821.30 and 77,232.91 is: 115,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,870.54 : 452,821.30 = 77,232.91 : x
  2. Step 2: Convert to fraction form
    301,870.54/452,821.30 = 77,232.91/x
  3. Step 3: Cross multiply
    301,870.54x = 452,821.30 × 77,232.91
  4. Step 4: Simplify right side
    301,870.54x = 34,972,705,383.85
  5. Step 5: Solve for x
    x = 34,972,705,383.85/301,870.54
  6. Step 6: Final answer
    x = 115,853.32

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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.