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Finding the Fourth Proportional to 105,246.14, 157,101.44 and 91,959.98

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Solution

The fourth proportional to 105,246.14, 157,101.44 and 91,959.98 is: 137,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,246.14 : 157,101.44 = 91,959.98 : x
  2. Step 2: Convert to fraction form
    105,246.14/157,101.44 = 91,959.98/x
  3. Step 3: Cross multiply
    105,246.14x = 157,101.44 × 91,959.98
  4. Step 4: Simplify right side
    105,246.14x = 14,447,045,280.37
  5. Step 5: Solve for x
    x = 14,447,045,280.37/105,246.14
  6. Step 6: Final answer
    x = 137,269.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.