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Finding the Fourth Proportional to 147,333, 221,065.08 and 77,195.92

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Solution

The fourth proportional to 147,333, 221,065.08 and 77,195.92 is: 115,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,333 : 221,065.08 = 77,195.92 : x
  2. Step 2: Convert to fraction form
    147,333/221,065.08 = 77,195.92/x
  3. Step 3: Cross multiply
    147,333x = 221,065.08 × 77,195.92
  4. Step 4: Simplify right side
    147,333x = 17,065,322,230.47
  5. Step 5: Solve for x
    x = 17,065,322,230.47/147,333
  6. Step 6: Final answer
    x = 115,828.24

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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.