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Finding the Fourth Proportional to 230,886.63, 346,381.89 and 81,137.28

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Solution

The fourth proportional to 230,886.63, 346,381.89 and 81,137.28 is: 121,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,886.63 : 346,381.89 = 81,137.28 : x
  2. Step 2: Convert to fraction form
    230,886.63/346,381.89 = 81,137.28/x
  3. Step 3: Cross multiply
    230,886.63x = 346,381.89 × 81,137.28
  4. Step 4: Simplify right side
    230,886.63x = 28,104,482,663.95
  5. Step 5: Solve for x
    x = 28,104,482,663.95/230,886.63
  6. Step 6: Final answer
    x = 121,724.17

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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.