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Finding the Fourth Proportional to 137,570.16, 189,856.56 and 76,336.38

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Solution

The fourth proportional to 137,570.16, 189,856.56 and 76,336.38 is: 105,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,570.16 : 189,856.56 = 76,336.38 : x
  2. Step 2: Convert to fraction form
    137,570.16/189,856.56 = 76,336.38/x
  3. Step 3: Cross multiply
    137,570.16x = 189,856.56 × 76,336.38
  4. Step 4: Simplify right side
    137,570.16x = 14,492,962,509.65
  5. Step 5: Solve for x
    x = 14,492,962,509.65/137,570.16
  6. Step 6: Final answer
    x = 105,349.61

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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.