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Finding the Fourth Proportional to 157,409.70, 217,219.01 and 85,788.15

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Solution

The fourth proportional to 157,409.70, 217,219.01 and 85,788.15 is: 118,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,409.70 : 217,219.01 = 85,788.15 : x
  2. Step 2: Convert to fraction form
    157,409.70/217,219.01 = 85,788.15/x
  3. Step 3: Cross multiply
    157,409.70x = 217,219.01 × 85,788.15
  4. Step 4: Simplify right side
    157,409.70x = 18,634,816,583.79
  5. Step 5: Solve for x
    x = 18,634,816,583.79/157,409.70
  6. Step 6: Final answer
    x = 118,384.17

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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.