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Finding the Fourth Proportional to 228,298.74, 342,590.37 and 109,982.10

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Solution

The fourth proportional to 228,298.74, 342,590.37 and 109,982.10 is: 165,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,298.74 : 342,590.37 = 109,982.10 : x
  2. Step 2: Convert to fraction form
    228,298.74/342,590.37 = 109,982.10/x
  3. Step 3: Cross multiply
    228,298.74x = 342,590.37 × 109,982.10
  4. Step 4: Simplify right side
    228,298.74x = 37,678,808,332.38
  5. Step 5: Solve for x
    x = 37,678,808,332.38/228,298.74
  6. Step 6: Final answer
    x = 165,041.68

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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.