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Finding the Fourth Proportional to 194,972.46, 292,458.69 and 70,313.46

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Solution

The fourth proportional to 194,972.46, 292,458.69 and 70,313.46 is: 105,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,972.46 : 292,458.69 = 70,313.46 : x
  2. Step 2: Convert to fraction form
    194,972.46/292,458.69 = 70,313.46/x
  3. Step 3: Cross multiply
    194,972.46x = 292,458.69 × 70,313.46
  4. Step 4: Simplify right side
    194,972.46x = 20,563,782,400.97
  5. Step 5: Solve for x
    x = 20,563,782,400.97/194,972.46
  6. Step 6: Final answer
    x = 105,470.19

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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.