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Finding the Fourth Proportional to 260,101.40, 390,152.10 and 194,005.40

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Solution

The fourth proportional to 260,101.40, 390,152.10 and 194,005.40 is: 291,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,101.40 : 390,152.10 = 194,005.40 : x
  2. Step 2: Convert to fraction form
    260,101.40/390,152.10 = 194,005.40/x
  3. Step 3: Cross multiply
    260,101.40x = 390,152.10 × 194,005.40
  4. Step 4: Simplify right side
    260,101.40x = 75,691,614,221.34
  5. Step 5: Solve for x
    x = 75,691,614,221.34/260,101.40
  6. Step 6: Final answer
    x = 291,008.10

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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.