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Finding the Fourth Proportional to 137,399.50, 189,611.31 and 77,783.50

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Solution

The fourth proportional to 137,399.50, 189,611.31 and 77,783.50 is: 107,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,399.50 : 189,611.31 = 77,783.50 : x
  2. Step 2: Convert to fraction form
    137,399.50/189,611.31 = 77,783.50/x
  3. Step 3: Cross multiply
    137,399.50x = 189,611.31 × 77,783.50
  4. Step 4: Simplify right side
    137,399.50x = 14,748,631,331.39
  5. Step 5: Solve for x
    x = 14,748,631,331.39/137,399.50
  6. Step 6: Final answer
    x = 107,341.23

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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.