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Finding the Fourth Proportional to 278,763.81, 417,112.35 and 166,505.10

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Solution

The fourth proportional to 278,763.81, 417,112.35 and 166,505.10 is: 249,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,763.81 : 417,112.35 = 166,505.10 : x
  2. Step 2: Convert to fraction form
    278,763.81/417,112.35 = 166,505.10/x
  3. Step 3: Cross multiply
    278,763.81x = 417,112.35 × 166,505.10
  4. Step 4: Simplify right side
    278,763.81x = 69,451,333,547.99
  5. Step 5: Solve for x
    x = 69,451,333,547.99/278,763.81
  6. Step 6: Final answer
    x = 249,140.42

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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.