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Finding the Fourth Proportional to 120,305.40, 166,038.93 and 69,308.20

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Solution

The fourth proportional to 120,305.40, 166,038.93 and 69,308.20 is: 95,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,305.40 : 166,038.93 = 69,308.20 : x
  2. Step 2: Convert to fraction form
    120,305.40/166,038.93 = 69,308.20/x
  3. Step 3: Cross multiply
    120,305.40x = 166,038.93 × 69,308.20
  4. Step 4: Simplify right side
    120,305.40x = 11,507,859,368.23
  5. Step 5: Solve for x
    x = 11,507,859,368.23/120,305.40
  6. Step 6: Final answer
    x = 95,655.39

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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.