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Finding the Fourth Proportional to 116,052, 160,158.24 and 65,767.20

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Solution

The fourth proportional to 116,052, 160,158.24 and 65,767.20 is: 90,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,052 : 160,158.24 = 65,767.20 : x
  2. Step 2: Convert to fraction form
    116,052/160,158.24 = 65,767.20/x
  3. Step 3: Cross multiply
    116,052x = 160,158.24 × 65,767.20
  4. Step 4: Simplify right side
    116,052x = 10,533,159,001.73
  5. Step 5: Solve for x
    x = 10,533,159,001.73/116,052
  6. Step 6: Final answer
    x = 90,762.41

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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.