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Finding the Fourth Proportional to 120,133.01, 165,787.02 and 66,421.50

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Solution

The fourth proportional to 120,133.01, 165,787.02 and 66,421.50 is: 91,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,133.01 : 165,787.02 = 66,421.50 : x
  2. Step 2: Convert to fraction form
    120,133.01/165,787.02 = 66,421.50/x
  3. Step 3: Cross multiply
    120,133.01x = 165,787.02 × 66,421.50
  4. Step 4: Simplify right side
    120,133.01x = 11,011,822,548.93
  5. Step 5: Solve for x
    x = 11,011,822,548.93/120,133.01
  6. Step 6: Final answer
    x = 91,663.59

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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.