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Finding the Fourth Proportional to 309,125.57, 463,554.66 and 106,743.02

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Solution

The fourth proportional to 309,125.57, 463,554.66 and 106,743.02 is: 160,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,125.57 : 463,554.66 = 106,743.02 : x
  2. Step 2: Convert to fraction form
    309,125.57/463,554.66 = 106,743.02/x
  3. Step 3: Cross multiply
    309,125.57x = 463,554.66 × 106,743.02
  4. Step 4: Simplify right side
    309,125.57x = 49,481,224,343.47
  5. Step 5: Solve for x
    x = 49,481,224,343.47/309,125.57
  6. Step 6: Final answer
    x = 160,068.36

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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.