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Finding the Fourth Proportional to 301,098.62, 451,254.20 and 123,397.58

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Solution

The fourth proportional to 301,098.62, 451,254.20 and 123,397.58 is: 184,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.62 : 451,254.20 = 123,397.58 : x
  2. Step 2: Convert to fraction form
    301,098.62/451,254.20 = 123,397.58/x
  3. Step 3: Cross multiply
    301,098.62x = 451,254.20 × 123,397.58
  4. Step 4: Simplify right side
    301,098.62x = 55,683,676,244.84
  5. Step 5: Solve for x
    x = 55,683,676,244.84/301,098.62
  6. Step 6: Final answer
    x = 184,935.01

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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.