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Finding the Fourth Proportional to 194,688.40, 292,129.80 and 110,513.20

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Solution

The fourth proportional to 194,688.40, 292,129.80 and 110,513.20 is: 165,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,688.40 : 292,129.80 = 110,513.20 : x
  2. Step 2: Convert to fraction form
    194,688.40/292,129.80 = 110,513.20/x
  3. Step 3: Cross multiply
    194,688.40x = 292,129.80 × 110,513.20
  4. Step 4: Simplify right side
    194,688.40x = 32,284,199,013.36
  5. Step 5: Solve for x
    x = 32,284,199,013.36/194,688.40
  6. Step 6: Final answer
    x = 165,824.97

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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.