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Finding the Fourth Proportional to 166,746.01, 249,978.84 and 135,077.54

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Solution

The fourth proportional to 166,746.01, 249,978.84 and 135,077.54 is: 202,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,746.01 : 249,978.84 = 135,077.54 : x
  2. Step 2: Convert to fraction form
    166,746.01/249,978.84 = 135,077.54/x
  3. Step 3: Cross multiply
    166,746.01x = 249,978.84 × 135,077.54
  4. Step 4: Simplify right side
    166,746.01x = 33,766,526,759.25
  5. Step 5: Solve for x
    x = 33,766,526,759.25/166,746.01
  6. Step 6: Final answer
    x = 202,502.76

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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.