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Finding the Fourth Proportional to 145,913.14, 201,360.06 and 78,845.14

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Solution

The fourth proportional to 145,913.14, 201,360.06 and 78,845.14 is: 108,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,913.14 : 201,360.06 = 78,845.14 : x
  2. Step 2: Convert to fraction form
    145,913.14/201,360.06 = 78,845.14/x
  3. Step 3: Cross multiply
    145,913.14x = 201,360.06 × 78,845.14
  4. Step 4: Simplify right side
    145,913.14x = 15,876,262,121.11
  5. Step 5: Solve for x
    x = 15,876,262,121.11/145,913.14
  6. Step 6: Final answer
    x = 108,806.25

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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.