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Finding the Fourth Proportional to 137,557.70, 189,908.28 and 105,232.76

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Solution

The fourth proportional to 137,557.70, 189,908.28 and 105,232.76 is: 145,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,557.70 : 189,908.28 = 105,232.76 : x
  2. Step 2: Convert to fraction form
    137,557.70/189,908.28 = 105,232.76/x
  3. Step 3: Cross multiply
    137,557.70x = 189,908.28 × 105,232.76
  4. Step 4: Simplify right side
    137,557.70x = 19,984,572,451.25
  5. Step 5: Solve for x
    x = 19,984,572,451.25/137,557.70
  6. Step 6: Final answer
    x = 145,281.38

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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.