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Finding the Fourth Proportional to 116,643, 174,990.42 and 42,771

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Solution

The fourth proportional to 116,643, 174,990.42 and 42,771 is: 64,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,643 : 174,990.42 = 42,771 : x
  2. Step 2: Convert to fraction form
    116,643/174,990.42 = 42,771/x
  3. Step 3: Cross multiply
    116,643x = 174,990.42 × 42,771
  4. Step 4: Simplify right side
    116,643x = 7,484,515,253.82
  5. Step 5: Solve for x
    x = 7,484,515,253.82/116,643
  6. Step 6: Final answer
    x = 64,166.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.