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Finding the Fourth Proportional to 178,070.86, 267,106.30 and 72,847

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Solution

The fourth proportional to 178,070.86, 267,106.30 and 72,847 is: 109,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,070.86 : 267,106.30 = 72,847 : x
  2. Step 2: Convert to fraction form
    178,070.86/267,106.30 = 72,847/x
  3. Step 3: Cross multiply
    178,070.86x = 267,106.30 × 72,847
  4. Step 4: Simplify right side
    178,070.86x = 19,457,892,636.10
  5. Step 5: Solve for x
    x = 19,457,892,636.10/178,070.86
  6. Step 6: Final answer
    x = 109,270.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.