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Finding the Fourth Proportional to 208,064.20, 312,096.30 and 166,592.20

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Solution

The fourth proportional to 208,064.20, 312,096.30 and 166,592.20 is: 249,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064.20 : 312,096.30 = 166,592.20 : x
  2. Step 2: Convert to fraction form
    208,064.20/312,096.30 = 166,592.20/x
  3. Step 3: Cross multiply
    208,064.20x = 312,096.30 × 166,592.20
  4. Step 4: Simplify right side
    208,064.20x = 51,992,809,228.86
  5. Step 5: Solve for x
    x = 51,992,809,228.86/208,064.20
  6. Step 6: Final answer
    x = 249,888.30

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1.5x scale

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.