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Finding the Fourth Proportional to 212,148.98, 292,755.57 and 116,659.70

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Solution

The fourth proportional to 212,148.98, 292,755.57 and 116,659.70 is: 160,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,148.98 : 292,755.57 = 116,659.70 : x
  2. Step 2: Convert to fraction form
    212,148.98/292,755.57 = 116,659.70/x
  3. Step 3: Cross multiply
    212,148.98x = 292,755.57 × 116,659.70
  4. Step 4: Simplify right side
    212,148.98x = 34,152,776,969.53
  5. Step 5: Solve for x
    x = 34,152,776,969.53/212,148.98
  6. Step 6: Final answer
    x = 160,984.87

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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.