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Finding the Fourth Proportional to 355,381.14, 532,993.12 and 102,606.67

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Solution

The fourth proportional to 355,381.14, 532,993.12 and 102,606.67 is: 153,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,381.14 : 532,993.12 = 102,606.67 : x
  2. Step 2: Convert to fraction form
    355,381.14/532,993.12 = 102,606.67/x
  3. Step 3: Cross multiply
    355,381.14x = 532,993.12 × 102,606.67
  4. Step 4: Simplify right side
    355,381.14x = 54,688,649,176.11
  5. Step 5: Solve for x
    x = 54,688,649,176.11/355,381.14
  6. Step 6: Final answer
    x = 153,887.31

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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.