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Finding the Fourth Proportional to 102,794.94, 141,857.88 and 56,853.82

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Solution

The fourth proportional to 102,794.94, 141,857.88 and 56,853.82 is: 78,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,794.94 : 141,857.88 = 56,853.82 : x
  2. Step 2: Convert to fraction form
    102,794.94/141,857.88 = 56,853.82/x
  3. Step 3: Cross multiply
    102,794.94x = 141,857.88 × 56,853.82
  4. Step 4: Simplify right side
    102,794.94x = 8,065,161,861.07
  5. Step 5: Solve for x
    x = 8,065,161,861.07/102,794.94
  6. Step 6: Final answer
    x = 78,458.74

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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.