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Finding the Fourth Proportional to 128,789.40, 193,193.32 and 34,018.64

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Solution

The fourth proportional to 128,789.40, 193,193.32 and 34,018.64 is: 51,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,789.40 : 193,193.32 = 34,018.64 : x
  2. Step 2: Convert to fraction form
    128,789.40/193,193.32 = 34,018.64/x
  3. Step 3: Cross multiply
    128,789.40x = 193,193.32 × 34,018.64
  4. Step 4: Simplify right side
    128,789.40x = 6,572,174,003.48
  5. Step 5: Solve for x
    x = 6,572,174,003.48/128,789.40
  6. Step 6: Final answer
    x = 51,030.40

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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.