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Finding the Fourth Proportional to 278,742.90, 384,666.18 and 164,025.96

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Solution

The fourth proportional to 278,742.90, 384,666.18 and 164,025.96 is: 226,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,742.90 : 384,666.18 = 164,025.96 : x
  2. Step 2: Convert to fraction form
    278,742.90/384,666.18 = 164,025.96/x
  3. Step 3: Cross multiply
    278,742.90x = 384,666.18 × 164,025.96
  4. Step 4: Simplify right side
    278,742.90x = 63,095,239,454.03
  5. Step 5: Solve for x
    x = 63,095,239,454.03/278,742.90
  6. Step 6: Final answer
    x = 226,356.40

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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.