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Finding the Fourth Proportional to 157,188.80, 216,913.92 and 85,567.34

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Solution

The fourth proportional to 157,188.80, 216,913.92 and 85,567.34 is: 118,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,188.80 : 216,913.92 = 85,567.34 : x
  2. Step 2: Convert to fraction form
    157,188.80/216,913.92 = 85,567.34/x
  3. Step 3: Cross multiply
    157,188.80x = 216,913.92 × 85,567.34
  4. Step 4: Simplify right side
    157,188.80x = 18,560,747,143.37
  5. Step 5: Solve for x
    x = 18,560,747,143.37/157,188.80
  6. Step 6: Final answer
    x = 118,079.32

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1.5x scale

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.