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Finding the Fourth Proportional to 311,050.26, 466,656.87 and 97,809.57

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Solution

The fourth proportional to 311,050.26, 466,656.87 and 97,809.57 is: 146,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,050.26 : 466,656.87 = 97,809.57 : x
  2. Step 2: Convert to fraction form
    311,050.26/466,656.87 = 97,809.57/x
  3. Step 3: Cross multiply
    311,050.26x = 466,656.87 × 97,809.57
  4. Step 4: Simplify right side
    311,050.26x = 45,643,507,792.25
  5. Step 5: Solve for x
    x = 45,643,507,792.25/311,050.26
  6. Step 6: Final answer
    x = 146,739.98

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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.