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Finding the Fourth Proportional to 355,606.16, 533,329.32 and 102,830.27

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Solution

The fourth proportional to 355,606.16, 533,329.32 and 102,830.27 is: 154,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,606.16 : 533,329.32 = 102,830.27 : x
  2. Step 2: Convert to fraction form
    355,606.16/533,329.32 = 102,830.27/x
  3. Step 3: Cross multiply
    355,606.16x = 533,329.32 × 102,830.27
  4. Step 4: Simplify right side
    355,606.16x = 54,842,397,974.52
  5. Step 5: Solve for x
    x = 54,842,397,974.52/355,606.16
  6. Step 6: Final answer
    x = 154,222.29

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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.