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Finding the Fourth Proportional to 210,958.53, 316,470.66 and 70,684.35

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Solution

The fourth proportional to 210,958.53, 316,470.66 and 70,684.35 is: 106,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,958.53 : 316,470.66 = 70,684.35 : x
  2. Step 2: Convert to fraction form
    210,958.53/316,470.66 = 70,684.35/x
  3. Step 3: Cross multiply
    210,958.53x = 316,470.66 × 70,684.35
  4. Step 4: Simplify right side
    210,958.53x = 22,369,522,896.17
  5. Step 5: Solve for x
    x = 22,369,522,896.17/210,958.53
  6. Step 6: Final answer
    x = 106,037.54

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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.