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Finding the Fourth Proportional to 78,410.34, 116,785.53 and 78,028.02

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Solution

The fourth proportional to 78,410.34, 116,785.53 and 78,028.02 is: 116,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.34 : 116,785.53 = 78,028.02 : x
  2. Step 2: Convert to fraction form
    78,410.34/116,785.53 = 78,028.02/x
  3. Step 3: Cross multiply
    78,410.34x = 116,785.53 × 78,028.02
  4. Step 4: Simplify right side
    78,410.34x = 9,112,543,670.55
  5. Step 5: Solve for x
    x = 9,112,543,670.55/78,410.34
  6. Step 6: Final answer
    x = 116,216.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.