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Finding the Fourth Proportional to 191,693.88, 264,513.06 and 106,799.40

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Solution

The fourth proportional to 191,693.88, 264,513.06 and 106,799.40 is: 147,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,693.88 : 264,513.06 = 106,799.40 : x
  2. Step 2: Convert to fraction form
    191,693.88/264,513.06 = 106,799.40/x
  3. Step 3: Cross multiply
    191,693.88x = 264,513.06 × 106,799.40
  4. Step 4: Simplify right side
    191,693.88x = 28,249,836,100.16
  5. Step 5: Solve for x
    x = 28,249,836,100.16/191,693.88
  6. Step 6: Final answer
    x = 147,369.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.