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Finding the Fourth Proportional to 194,823.60, 292,235.40 and 84,231.60

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Solution

The fourth proportional to 194,823.60, 292,235.40 and 84,231.60 is: 126,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,823.60 : 292,235.40 = 84,231.60 : x
  2. Step 2: Convert to fraction form
    194,823.60/292,235.40 = 84,231.60/x
  3. Step 3: Cross multiply
    194,823.60x = 292,235.40 × 84,231.60
  4. Step 4: Simplify right side
    194,823.60x = 24,615,455,318.64
  5. Step 5: Solve for x
    x = 24,615,455,318.64/194,823.60
  6. Step 6: Final answer
    x = 126,347.40

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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.