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Finding the Fourth Proportional to 146,716.77, 202,386.40 and 85,455.74

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Solution

The fourth proportional to 146,716.77, 202,386.40 and 85,455.74 is: 117,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,716.77 : 202,386.40 = 85,455.74 : x
  2. Step 2: Convert to fraction form
    146,716.77/202,386.40 = 85,455.74/x
  3. Step 3: Cross multiply
    146,716.77x = 202,386.40 × 85,455.74
  4. Step 4: Simplify right side
    146,716.77x = 17,295,079,111.31
  5. Step 5: Solve for x
    x = 17,295,079,111.31/146,716.77
  6. Step 6: Final answer
    x = 117,880.72

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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.