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Finding the Fourth Proportional to 260,015.40, 390,023.10 and 161,711.40

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Solution

The fourth proportional to 260,015.40, 390,023.10 and 161,711.40 is: 242,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,015.40 : 390,023.10 = 161,711.40 : x
  2. Step 2: Convert to fraction form
    260,015.40/390,023.10 = 161,711.40/x
  3. Step 3: Cross multiply
    260,015.40x = 390,023.10 × 161,711.40
  4. Step 4: Simplify right side
    260,015.40x = 63,071,181,533.34
  5. Step 5: Solve for x
    x = 63,071,181,533.34/260,015.40
  6. Step 6: Final answer
    x = 242,567.10

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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.