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Finding the Fourth Proportional to 85,715.70, 128,573.55 and 81,827.70

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Solution

The fourth proportional to 85,715.70, 128,573.55 and 81,827.70 is: 122,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,715.70 : 128,573.55 = 81,827.70 : x
  2. Step 2: Convert to fraction form
    85,715.70/128,573.55 = 81,827.70/x
  3. Step 3: Cross multiply
    85,715.70x = 128,573.55 × 81,827.70
  4. Step 4: Simplify right side
    85,715.70x = 10,520,877,877.34
  5. Step 5: Solve for x
    x = 10,520,877,877.34/85,715.70
  6. Step 6: Final answer
    x = 122,741.55

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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.