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Finding the Fourth Proportional to 194,684, 292,057.60 and 76,291.16

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Solution

The fourth proportional to 194,684, 292,057.60 and 76,291.16 is: 114,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,684 : 292,057.60 = 76,291.16 : x
  2. Step 2: Convert to fraction form
    194,684/292,057.60 = 76,291.16/x
  3. Step 3: Cross multiply
    194,684x = 292,057.60 × 76,291.16
  4. Step 4: Simplify right side
    194,684x = 22,281,413,090.82
  5. Step 5: Solve for x
    x = 22,281,413,090.82/194,684
  6. Step 6: Final answer
    x = 114,449.12

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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.