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Finding the Fourth Proportional to 295,931.10, 443,605.05 and 146,048.70

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Solution

The fourth proportional to 295,931.10, 443,605.05 and 146,048.70 is: 218,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,931.10 : 443,605.05 = 146,048.70 : x
  2. Step 2: Convert to fraction form
    295,931.10/443,605.05 = 146,048.70/x
  3. Step 3: Cross multiply
    295,931.10x = 443,605.05 × 146,048.70
  4. Step 4: Simplify right side
    295,931.10x = 64,787,940,865.94
  5. Step 5: Solve for x
    x = 64,787,940,865.94/295,931.10
  6. Step 6: Final answer
    x = 218,929.14

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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.