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Finding the Fourth Proportional to 145,965.57, 201,432.38 and 78,897.57

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Solution

The fourth proportional to 145,965.57, 201,432.38 and 78,897.57 is: 108,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,965.57 : 201,432.38 = 78,897.57 : x
  2. Step 2: Convert to fraction form
    145,965.57/201,432.38 = 78,897.57/x
  3. Step 3: Cross multiply
    145,965.57x = 201,432.38 × 78,897.57
  4. Step 4: Simplify right side
    145,965.57x = 15,892,524,906.83
  5. Step 5: Solve for x
    x = 15,892,524,906.83/145,965.57
  6. Step 6: Final answer
    x = 108,878.59

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