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Finding the Fourth Proportional to 208,745.88, 288,096.46 and 116,900.14

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Solution

The fourth proportional to 208,745.88, 288,096.46 and 116,900.14 is: 161,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,745.88 : 288,096.46 = 116,900.14 : x
  2. Step 2: Convert to fraction form
    208,745.88/288,096.46 = 116,900.14/x
  3. Step 3: Cross multiply
    208,745.88x = 288,096.46 × 116,900.14
  4. Step 4: Simplify right side
    208,745.88x = 33,678,516,507.50
  5. Step 5: Solve for x
    x = 33,678,516,507.50/208,745.88
  6. Step 6: Final answer
    x = 161,337.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.