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Finding the Fourth Proportional to 106,020, 159,020.66 and 63,615.42

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Solution

The fourth proportional to 106,020, 159,020.66 and 63,615.42 is: 95,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,020 : 159,020.66 = 63,615.42 : x
  2. Step 2: Convert to fraction form
    106,020/159,020.66 = 63,615.42/x
  3. Step 3: Cross multiply
    106,020x = 159,020.66 × 63,615.42
  4. Step 4: Simplify right side
    106,020x = 10,116,166,233.62
  5. Step 5: Solve for x
    x = 10,116,166,233.62/106,020
  6. Step 6: Final answer
    x = 95,417.53

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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.