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Finding the Fourth Proportional to 137,098.32, 189,152.64 and 76,660.80

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Solution

The fourth proportional to 137,098.32, 189,152.64 and 76,660.80 is: 105,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098.32 : 189,152.64 = 76,660.80 : x
  2. Step 2: Convert to fraction form
    137,098.32/189,152.64 = 76,660.80/x
  3. Step 3: Cross multiply
    137,098.32x = 189,152.64 × 76,660.80
  4. Step 4: Simplify right side
    137,098.32x = 14,500,592,704.51
  5. Step 5: Solve for x
    x = 14,500,592,704.51/137,098.32
  6. Step 6: Final answer
    x = 105,767.84

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