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Finding the Fourth Proportional to 123,783.46, 170,820 and 67,194.76

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Solution

The fourth proportional to 123,783.46, 170,820 and 67,194.76 is: 92,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,783.46 : 170,820 = 67,194.76 : x
  2. Step 2: Convert to fraction form
    123,783.46/170,820 = 67,194.76/x
  3. Step 3: Cross multiply
    123,783.46x = 170,820 × 67,194.76
  4. Step 4: Simplify right side
    123,783.46x = 11,478,208,903.20
  5. Step 5: Solve for x
    x = 11,478,208,903.20/123,783.46
  6. Step 6: Final answer
    x = 92,728.13

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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.