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Finding the Fourth Proportional to 235,281.65, 352,921.64 and 66,802

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Solution

The fourth proportional to 235,281.65, 352,921.64 and 66,802 is: 100,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,281.65 : 352,921.64 = 66,802 : x
  2. Step 2: Convert to fraction form
    235,281.65/352,921.64 = 66,802/x
  3. Step 3: Cross multiply
    235,281.65x = 352,921.64 × 66,802
  4. Step 4: Simplify right side
    235,281.65x = 23,575,871,395.28
  5. Step 5: Solve for x
    x = 23,575,871,395.28/235,281.65
  6. Step 6: Final answer
    x = 100,202.76

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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.