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Finding the Fourth Proportional to 191,898.40, 264,813.96 and 107,029.84

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Solution

The fourth proportional to 191,898.40, 264,813.96 and 107,029.84 is: 147,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,898.40 : 264,813.96 = 107,029.84 : x
  2. Step 2: Convert to fraction form
    191,898.40/264,813.96 = 107,029.84/x
  3. Step 3: Cross multiply
    191,898.40x = 264,813.96 × 107,029.84
  4. Step 4: Simplify right side
    191,898.40x = 28,342,995,768.57
  5. Step 5: Solve for x
    x = 28,342,995,768.57/191,898.40
  6. Step 6: Final answer
    x = 147,697.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.