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Finding the Fourth Proportional to 190,886.46, 285,893.64 and 91,116.87

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Solution

The fourth proportional to 190,886.46, 285,893.64 and 91,116.87 is: 136,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,886.46 : 285,893.64 = 91,116.87 : x
  2. Step 2: Convert to fraction form
    190,886.46/285,893.64 = 91,116.87/x
  3. Step 3: Cross multiply
    190,886.46x = 285,893.64 × 91,116.87
  4. Step 4: Simplify right side
    190,886.46x = 26,049,733,629.71
  5. Step 5: Solve for x
    x = 26,049,733,629.71/190,886.46
  6. Step 6: Final answer
    x = 136,467.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.