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Finding the Fourth Proportional to 157,409.29, 217,218.49 and 85,787.77

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Solution

The fourth proportional to 157,409.29, 217,218.49 and 85,787.77 is: 118,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,409.29 : 217,218.49 = 85,787.77 : x
  2. Step 2: Convert to fraction form
    157,409.29/217,218.49 = 85,787.77/x
  3. Step 3: Cross multiply
    157,409.29x = 217,218.49 × 85,787.77
  4. Step 4: Simplify right side
    157,409.29x = 18,634,689,102.35
  5. Step 5: Solve for x
    x = 18,634,689,102.35/157,409.29
  6. Step 6: Final answer
    x = 118,383.67

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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.