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Finding the Fourth Proportional to 137,357.00, 189,543.47 and 76,099.07

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Solution

The fourth proportional to 137,357.00, 189,543.47 and 76,099.07 is: 105,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,357.00 : 189,543.47 = 76,099.07 : x
  2. Step 2: Convert to fraction form
    137,357.00/189,543.47 = 76,099.07/x
  3. Step 3: Cross multiply
    137,357.00x = 189,543.47 × 76,099.07
  4. Step 4: Simplify right side
    137,357.00x = 14,424,080,463.36
  5. Step 5: Solve for x
    x = 14,424,080,463.36/137,357.00
  6. Step 6: Final answer
    x = 105,011.62

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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.