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Finding the Fourth Proportional to 105,096.88, 157,655.10 and 41,901.70

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Solution

The fourth proportional to 105,096.88, 157,655.10 and 41,901.70 is: 62,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,096.88 : 157,655.10 = 41,901.70 : x
  2. Step 2: Convert to fraction form
    105,096.88/157,655.10 = 41,901.70/x
  3. Step 3: Cross multiply
    105,096.88x = 157,655.10 × 41,901.70
  4. Step 4: Simplify right side
    105,096.88x = 6,606,016,703.67
  5. Step 5: Solve for x
    x = 6,606,016,703.67/105,096.88
  6. Step 6: Final answer
    x = 62,856.45

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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.