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Finding the Fourth Proportional to 357,196.29, 535,820.36 and 107,897.73

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Solution

The fourth proportional to 357,196.29, 535,820.36 and 107,897.73 is: 161,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,196.29 : 535,820.36 = 107,897.73 : x
  2. Step 2: Convert to fraction form
    357,196.29/535,820.36 = 107,897.73/x
  3. Step 3: Cross multiply
    357,196.29x = 535,820.36 × 107,897.73
  4. Step 4: Simplify right side
    357,196.29x = 57,813,799,992.29
  5. Step 5: Solve for x
    x = 57,813,799,992.29/357,196.29
  6. Step 6: Final answer
    x = 161,854.42

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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.