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Finding the Fourth Proportional to 233,843.40, 322,696.04 and 147,848.67

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Solution

The fourth proportional to 233,843.40, 322,696.04 and 147,848.67 is: 204,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,843.40 : 322,696.04 = 147,848.67 : x
  2. Step 2: Convert to fraction form
    233,843.40/322,696.04 = 147,848.67/x
  3. Step 3: Cross multiply
    233,843.40x = 322,696.04 × 147,848.67
  4. Step 4: Simplify right side
    233,843.40x = 47,710,179,589.02
  5. Step 5: Solve for x
    x = 47,710,179,589.02/233,843.40
  6. Step 6: Final answer
    x = 204,026.20

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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.