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Finding the Fourth Proportional to 105,184.76, 157,866.30 and 42,049.46

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Solution

The fourth proportional to 105,184.76, 157,866.30 and 42,049.46 is: 63,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,184.76 : 157,866.30 = 42,049.46 : x
  2. Step 2: Convert to fraction form
    105,184.76/157,866.30 = 42,049.46/x
  3. Step 3: Cross multiply
    105,184.76x = 157,866.30 × 42,049.46
  4. Step 4: Simplify right side
    105,184.76x = 6,638,191,877.87
  5. Step 5: Solve for x
    x = 6,638,191,877.87/105,184.76
  6. Step 6: Final answer
    x = 63,109.83

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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.