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Finding the Fourth Proportional to 294,160.93, 405,925.06 and 165,087.38

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Solution

The fourth proportional to 294,160.93, 405,925.06 and 165,087.38 is: 227,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,160.93 : 405,925.06 = 165,087.38 : x
  2. Step 2: Convert to fraction form
    294,160.93/405,925.06 = 165,087.38/x
  3. Step 3: Cross multiply
    294,160.93x = 405,925.06 × 165,087.38
  4. Step 4: Simplify right side
    294,160.93x = 67,013,104,631.74
  5. Step 5: Solve for x
    x = 67,013,104,631.74/294,160.93
  6. Step 6: Final answer
    x = 227,811.03

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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.