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Finding the Fourth Proportional to 307,166.17, 460,956.85 and 107,488.29

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Solution

The fourth proportional to 307,166.17, 460,956.85 and 107,488.29 is: 161,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,166.17 : 460,956.85 = 107,488.29 : x
  2. Step 2: Convert to fraction form
    307,166.17/460,956.85 = 107,488.29/x
  3. Step 3: Cross multiply
    307,166.17x = 460,956.85 × 107,488.29
  4. Step 4: Simplify right side
    307,166.17x = 49,547,463,570.29
  5. Step 5: Solve for x
    x = 49,547,463,570.29/307,166.17
  6. Step 6: Final answer
    x = 161,305.08

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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.