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Finding the Fourth Proportional to 212,103, 292,708.98 and 116,616.60

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Solution

The fourth proportional to 212,103, 292,708.98 and 116,616.60 is: 160,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,103 : 292,708.98 = 116,616.60 : x
  2. Step 2: Convert to fraction form
    212,103/292,708.98 = 116,616.60/x
  3. Step 3: Cross multiply
    212,103x = 292,708.98 × 116,616.60
  4. Step 4: Simplify right side
    212,103x = 34,134,726,037.07
  5. Step 5: Solve for x
    x = 34,134,726,037.07/212,103
  6. Step 6: Final answer
    x = 160,934.67

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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.