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Finding the Fourth Proportional to 242,677.40, 364,404.90 and 164,139.80

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Solution

The fourth proportional to 242,677.40, 364,404.90 and 164,139.80 is: 246,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,677.40 : 364,404.90 = 164,139.80 : x
  2. Step 2: Convert to fraction form
    242,677.40/364,404.90 = 164,139.80/x
  3. Step 3: Cross multiply
    242,677.40x = 364,404.90 × 164,139.80
  4. Step 4: Simplify right side
    242,677.40x = 59,813,347,405.02
  5. Step 5: Solve for x
    x = 59,813,347,405.02/242,677.40
  6. Step 6: Final answer
    x = 246,472.67

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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.