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Finding the Fourth Proportional to 141,281.14, 194,970.73 and 77,621.34

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Solution

The fourth proportional to 141,281.14, 194,970.73 and 77,621.34 is: 107,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,281.14 : 194,970.73 = 77,621.34 : x
  2. Step 2: Convert to fraction form
    141,281.14/194,970.73 = 77,621.34/x
  3. Step 3: Cross multiply
    141,281.14x = 194,970.73 × 77,621.34
  4. Step 4: Simplify right side
    141,281.14x = 15,133,889,323.38
  5. Step 5: Solve for x
    x = 15,133,889,323.38/141,281.14
  6. Step 6: Final answer
    x = 107,118.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.