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Finding the Fourth Proportional to 185,311, 277,966.46 and 45,068.40

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Solution

The fourth proportional to 185,311, 277,966.46 and 45,068.40 is: 67,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,311 : 277,966.46 = 45,068.40 : x
  2. Step 2: Convert to fraction form
    185,311/277,966.46 = 45,068.40/x
  3. Step 3: Cross multiply
    185,311x = 277,966.46 × 45,068.40
  4. Step 4: Simplify right side
    185,311x = 12,527,503,605.86
  5. Step 5: Solve for x
    x = 12,527,503,605.86/185,311
  6. Step 6: Final answer
    x = 67,602.59

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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.