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Finding the Fourth Proportional to 309,123.57, 463,551.66 and 106,741.02

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Solution

The fourth proportional to 309,123.57, 463,551.66 and 106,741.02 is: 160,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,123.57 : 463,551.66 = 106,741.02 : x
  2. Step 2: Convert to fraction form
    309,123.57/463,551.66 = 106,741.02/x
  3. Step 3: Cross multiply
    309,123.57x = 463,551.66 × 106,741.02
  4. Step 4: Simplify right side
    309,123.57x = 49,479,977,011.09
  5. Step 5: Solve for x
    x = 49,479,977,011.09/309,123.57
  6. Step 6: Final answer
    x = 160,065.36

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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.