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Finding the Fourth Proportional to 184,462.65, 254,576.66 and 107,977.14

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Solution

The fourth proportional to 184,462.65, 254,576.66 and 107,977.14 is: 149,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,462.65 : 254,576.66 = 107,977.14 : x
  2. Step 2: Convert to fraction form
    184,462.65/254,576.66 = 107,977.14/x
  3. Step 3: Cross multiply
    184,462.65x = 254,576.66 × 107,977.14
  4. Step 4: Simplify right side
    184,462.65x = 27,488,459,117.67
  5. Step 5: Solve for x
    x = 27,488,459,117.67/184,462.65
  6. Step 6: Final answer
    x = 149,019.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.