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Finding the Fourth Proportional to 154,734.56, 232,063.28 and 42,415.28

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Solution

The fourth proportional to 154,734.56, 232,063.28 and 42,415.28 is: 63,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,734.56 : 232,063.28 = 42,415.28 : x
  2. Step 2: Convert to fraction form
    154,734.56/232,063.28 = 42,415.28/x
  3. Step 3: Cross multiply
    154,734.56x = 232,063.28 × 42,415.28
  4. Step 4: Simplify right side
    154,734.56x = 9,843,028,998.92
  5. Step 5: Solve for x
    x = 9,843,028,998.92/154,734.56
  6. Step 6: Final answer
    x = 63,612.35

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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.