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Finding the Fourth Proportional to 116,475, 160,741.17 and 65,503.78

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Solution

The fourth proportional to 116,475, 160,741.17 and 65,503.78 is: 90,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,475 : 160,741.17 = 65,503.78 : x
  2. Step 2: Convert to fraction form
    116,475/160,741.17 = 65,503.78/x
  3. Step 3: Cross multiply
    116,475x = 160,741.17 × 65,503.78
  4. Step 4: Simplify right side
    116,475x = 10,529,154,236.62
  5. Step 5: Solve for x
    x = 10,529,154,236.62/116,475
  6. Step 6: Final answer
    x = 90,398.41

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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.