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Finding the Fourth Proportional to 166,507.40, 249,761.10 and 146,824.40

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Solution

The fourth proportional to 166,507.40, 249,761.10 and 146,824.40 is: 220,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,507.40 : 249,761.10 = 146,824.40 : x
  2. Step 2: Convert to fraction form
    166,507.40/249,761.10 = 146,824.40/x
  3. Step 3: Cross multiply
    166,507.40x = 249,761.10 × 146,824.40
  4. Step 4: Simplify right side
    166,507.40x = 36,671,023,650.84
  5. Step 5: Solve for x
    x = 36,671,023,650.84/166,507.40
  6. Step 6: Final answer
    x = 220,236.60

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1.5x scale

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.