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Finding the Fourth Proportional to 193,354.16, 266,824.73 and 107,308.15

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Solution

The fourth proportional to 193,354.16, 266,824.73 and 107,308.15 is: 148,083.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,354.16 : 266,824.73 = 107,308.15 : x
  2. Step 2: Convert to fraction form
    193,354.16/266,824.73 = 107,308.15/x
  3. Step 3: Cross multiply
    193,354.16x = 266,824.73 × 107,308.15
  4. Step 4: Simplify right side
    193,354.16x = 28,632,466,946.95
  5. Step 5: Solve for x
    x = 28,632,466,946.95/193,354.16
  6. Step 6: Final answer
    x = 148,083.01

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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.