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Finding the Fourth Proportional to 160,953, 222,115.14 and 104,364.78

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Solution

The fourth proportional to 160,953, 222,115.14 and 104,364.78 is: 144,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,953 : 222,115.14 = 104,364.78 : x
  2. Step 2: Convert to fraction form
    160,953/222,115.14 = 104,364.78/x
  3. Step 3: Cross multiply
    160,953x = 222,115.14 × 104,364.78
  4. Step 4: Simplify right side
    160,953x = 23,180,997,720.77
  5. Step 5: Solve for x
    x = 23,180,997,720.77/160,953
  6. Step 6: Final answer
    x = 144,023.40

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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.