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Finding the Fourth Proportional to 442,133.80, 663,200.70 and 109,709.80

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Solution

The fourth proportional to 442,133.80, 663,200.70 and 109,709.80 is: 164,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,133.80 : 663,200.70 = 109,709.80 : x
  2. Step 2: Convert to fraction form
    442,133.80/663,200.70 = 109,709.80/x
  3. Step 3: Cross multiply
    442,133.80x = 663,200.70 × 109,709.80
  4. Step 4: Simplify right side
    442,133.80x = 72,759,616,156.86
  5. Step 5: Solve for x
    x = 72,759,616,156.86/442,133.80
  6. Step 6: Final answer
    x = 164,564.70

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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.