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Finding the Fourth Proportional to 302,056.61, 416,848.82 and 166,100.87

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Solution

The fourth proportional to 302,056.61, 416,848.82 and 166,100.87 is: 229,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,056.61 : 416,848.82 = 166,100.87 : x
  2. Step 2: Convert to fraction form
    302,056.61/416,848.82 = 166,100.87/x
  3. Step 3: Cross multiply
    302,056.61x = 416,848.82 × 166,100.87
  4. Step 4: Simplify right side
    302,056.61x = 69,238,950,829.97
  5. Step 5: Solve for x
    x = 69,238,950,829.97/302,056.61
  6. Step 6: Final answer
    x = 229,225.08

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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.