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Finding the Fourth Proportional to 402,145.40, 603,174.90 and 106,657.40

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Solution

The fourth proportional to 402,145.40, 603,174.90 and 106,657.40 is: 159,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,145.40 : 603,174.90 = 106,657.40 : x
  2. Step 2: Convert to fraction form
    402,145.40/603,174.90 = 106,657.40/x
  3. Step 3: Cross multiply
    402,145.40x = 603,174.90 × 106,657.40
  4. Step 4: Simplify right side
    402,145.40x = 64,333,066,579.26
  5. Step 5: Solve for x
    x = 64,333,066,579.26/402,145.40
  6. Step 6: Final answer
    x = 159,974.64

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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.