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Finding the Fourth Proportional to 155,089.68, 232,148.34 and 106,776.42

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Solution

The fourth proportional to 155,089.68, 232,148.34 and 106,776.42 is: 159,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,089.68 : 232,148.34 = 106,776.42 : x
  2. Step 2: Convert to fraction form
    155,089.68/232,148.34 = 106,776.42/x
  3. Step 3: Cross multiply
    155,089.68x = 232,148.34 × 106,776.42
  4. Step 4: Simplify right side
    155,089.68x = 24,787,968,654.14
  5. Step 5: Solve for x
    x = 24,787,968,654.14/155,089.68
  6. Step 6: Final answer
    x = 159,829.90

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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.