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Finding the Fourth Proportional to 119,295.72, 178,554.14 and 87,697.42

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Solution

The fourth proportional to 119,295.72, 178,554.14 and 87,697.42 is: 131,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.72 : 178,554.14 = 87,697.42 : x
  2. Step 2: Convert to fraction form
    119,295.72/178,554.14 = 87,697.42/x
  3. Step 3: Cross multiply
    119,295.72x = 178,554.14 × 87,697.42
  4. Step 4: Simplify right side
    119,295.72x = 15,658,736,852.31
  5. Step 5: Solve for x
    x = 15,658,736,852.31/119,295.72
  6. Step 6: Final answer
    x = 131,259.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.