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Finding the Fourth Proportional to 304,968.01, 420,852.48 and 167,148.05

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Solution

The fourth proportional to 304,968.01, 420,852.48 and 167,148.05 is: 230,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,968.01 : 420,852.48 = 167,148.05 : x
  2. Step 2: Convert to fraction form
    304,968.01/420,852.48 = 167,148.05/x
  3. Step 3: Cross multiply
    304,968.01x = 420,852.48 × 167,148.05
  4. Step 4: Simplify right side
    304,968.01x = 70,344,671,369.66
  5. Step 5: Solve for x
    x = 70,344,671,369.66/304,968.01
  6. Step 6: Final answer
    x = 230,662.46

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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.