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Finding the Fourth Proportional to 194,690.10, 292,158 and 76,358.28

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Solution

The fourth proportional to 194,690.10, 292,158 and 76,358.28 is: 114,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,690.10 : 292,158 = 76,358.28 : x
  2. Step 2: Convert to fraction form
    194,690.10/292,158 = 76,358.28/x
  3. Step 3: Cross multiply
    194,690.10x = 292,158 × 76,358.28
  4. Step 4: Simplify right side
    194,690.10x = 22,308,682,368.24
  5. Step 5: Solve for x
    x = 22,308,682,368.24/194,690.10
  6. Step 6: Final answer
    x = 114,585.60

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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.