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Finding the Fourth Proportional to 105,176.17, 157,826.68 and 42,026.09

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Solution

The fourth proportional to 105,176.17, 157,826.68 and 42,026.09 is: 63,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,176.17 : 157,826.68 = 42,026.09 : x
  2. Step 2: Convert to fraction form
    105,176.17/157,826.68 = 42,026.09/x
  3. Step 3: Cross multiply
    105,176.17x = 157,826.68 × 42,026.09
  4. Step 4: Simplify right side
    105,176.17x = 6,632,838,251.66
  5. Step 5: Solve for x
    x = 6,632,838,251.66/105,176.17
  6. Step 6: Final answer
    x = 63,064.08

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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.