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Finding the Fourth Proportional to 116,564.24, 160,916.74 and 76,339.64

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Solution

The fourth proportional to 116,564.24, 160,916.74 and 76,339.64 is: 105,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,564.24 : 160,916.74 = 76,339.64 : x
  2. Step 2: Convert to fraction form
    116,564.24/160,916.74 = 76,339.64/x
  3. Step 3: Cross multiply
    116,564.24x = 160,916.74 × 76,339.64
  4. Step 4: Simplify right side
    116,564.24x = 12,284,325,006.14
  5. Step 5: Solve for x
    x = 12,284,325,006.14/116,564.24
  6. Step 6: Final answer
    x = 105,386.74

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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.