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Finding the Fourth Proportional to 151,265.58, 208,744.47 and 84,197.58

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Solution

The fourth proportional to 151,265.58, 208,744.47 and 84,197.58 is: 116,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,265.58 : 208,744.47 = 84,197.58 : x
  2. Step 2: Convert to fraction form
    151,265.58/208,744.47 = 84,197.58/x
  3. Step 3: Cross multiply
    151,265.58x = 208,744.47 × 84,197.58
  4. Step 4: Simplify right side
    151,265.58x = 17,575,779,212.38
  5. Step 5: Solve for x
    x = 17,575,779,212.38/151,265.58
  6. Step 6: Final answer
    x = 116,191.53

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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.