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Finding the Fourth Proportional to 230,272, 317,913.60 and 150,922.24

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Solution

The fourth proportional to 230,272, 317,913.60 and 150,922.24 is: 208,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,272 : 317,913.60 = 150,922.24 : x
  2. Step 2: Convert to fraction form
    230,272/317,913.60 = 150,922.24/x
  3. Step 3: Cross multiply
    230,272x = 317,913.60 × 150,922.24
  4. Step 4: Simplify right side
    230,272x = 47,980,232,638.46
  5. Step 5: Solve for x
    x = 47,980,232,638.46/230,272
  6. Step 6: Final answer
    x = 208,363.29

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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.