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Finding the Fourth Proportional to 151,330.38, 208,845.40 and 83,347.34

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Solution

The fourth proportional to 151,330.38, 208,845.40 and 83,347.34 is: 115,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,330.38 : 208,845.40 = 83,347.34 : x
  2. Step 2: Convert to fraction form
    151,330.38/208,845.40 = 83,347.34/x
  3. Step 3: Cross multiply
    151,330.38x = 208,845.40 × 83,347.34
  4. Step 4: Simplify right side
    151,330.38x = 17,406,707,308.64
  5. Step 5: Solve for x
    x = 17,406,707,308.64/151,330.38
  6. Step 6: Final answer
    x = 115,024.54

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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.