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Finding the Fourth Proportional to 402,086.40, 603,086.40 and 106,598.40

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Solution

The fourth proportional to 402,086.40, 603,086.40 and 106,598.40 is: 159,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,086.40 : 603,086.40 = 106,598.40 : x
  2. Step 2: Convert to fraction form
    402,086.40/603,086.40 = 106,598.40/x
  3. Step 3: Cross multiply
    402,086.40x = 603,086.40 × 106,598.40
  4. Step 4: Simplify right side
    402,086.40x = 64,288,045,301.76
  5. Step 5: Solve for x
    x = 64,288,045,301.76/402,086.40
  6. Step 6: Final answer
    x = 159,886.15

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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.