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Finding the Fourth Proportional to 351,504, 527,345.91 and 102,186

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Solution

The fourth proportional to 351,504, 527,345.91 and 102,186 is: 153,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,504 : 527,345.91 = 102,186 : x
  2. Step 2: Convert to fraction form
    351,504/527,345.91 = 102,186/x
  3. Step 3: Cross multiply
    351,504x = 527,345.91 × 102,186
  4. Step 4: Simplify right side
    351,504x = 53,887,369,159.26
  5. Step 5: Solve for x
    x = 53,887,369,159.26/351,504
  6. Step 6: Final answer
    x = 153,305.14

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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.