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Finding the Fourth Proportional to 157,616.28, 217,308.36 and 114,560.40

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Solution

The fourth proportional to 157,616.28, 217,308.36 and 114,560.40 is: 157,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,616.28 : 217,308.36 = 114,560.40 : x
  2. Step 2: Convert to fraction form
    157,616.28/217,308.36 = 114,560.40/x
  3. Step 3: Cross multiply
    157,616.28x = 217,308.36 × 114,560.40
  4. Step 4: Simplify right side
    157,616.28x = 24,894,932,644.94
  5. Step 5: Solve for x
    x = 24,894,932,644.94/157,616.28
  6. Step 6: Final answer
    x = 157,946.45

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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.