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Finding the Fourth Proportional to 157,953.81, 217,976.20 and 89,977.08

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Solution

The fourth proportional to 157,953.81, 217,976.20 and 89,977.08 is: 124,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,953.81 : 217,976.20 = 89,977.08 : x
  2. Step 2: Convert to fraction form
    157,953.81/217,976.20 = 89,977.08/x
  3. Step 3: Cross multiply
    157,953.81x = 217,976.20 × 89,977.08
  4. Step 4: Simplify right side
    157,953.81x = 19,612,861,985.50
  5. Step 5: Solve for x
    x = 19,612,861,985.50/157,953.81
  6. Step 6: Final answer
    x = 124,168.34

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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.