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Finding the Fourth Proportional to 301,242.44, 415,715.06 and 167,106.44

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Solution

The fourth proportional to 301,242.44, 415,715.06 and 167,106.44 is: 230,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,242.44 : 415,715.06 = 167,106.44 : x
  2. Step 2: Convert to fraction form
    301,242.44/415,715.06 = 167,106.44/x
  3. Step 3: Cross multiply
    301,242.44x = 415,715.06 × 167,106.44
  4. Step 4: Simplify right side
    301,242.44x = 69,468,663,730.99
  5. Step 5: Solve for x
    x = 69,468,663,730.99/301,242.44
  6. Step 6: Final answer
    x = 230,607.16

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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.