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Finding the Fourth Proportional to 163,015, 224,961.32 and 95,078.89

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Solution

The fourth proportional to 163,015, 224,961.32 and 95,078.89 is: 131,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,015 : 224,961.32 = 95,078.89 : x
  2. Step 2: Convert to fraction form
    163,015/224,961.32 = 95,078.89/x
  3. Step 3: Cross multiply
    163,015x = 224,961.32 × 95,078.89
  4. Step 4: Simplify right side
    163,015x = 21,389,072,598.53
  5. Step 5: Solve for x
    x = 21,389,072,598.53/163,015
  6. Step 6: Final answer
    x = 131,209.23

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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.