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Finding the Fourth Proportional to 157,397.84, 217,202.70 and 85,776.34

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Solution

The fourth proportional to 157,397.84, 217,202.70 and 85,776.34 is: 118,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,397.84 : 217,202.70 = 85,776.34 : x
  2. Step 2: Convert to fraction form
    157,397.84/217,202.70 = 85,776.34/x
  3. Step 3: Cross multiply
    157,397.84x = 217,202.70 × 85,776.34
  4. Step 4: Simplify right side
    157,397.84x = 18,630,852,644.12
  5. Step 5: Solve for x
    x = 18,630,852,644.12/157,397.84
  6. Step 6: Final answer
    x = 118,367.91

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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.