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Finding the Fourth Proportional to 171,140.10, 256,705.35 and 77,645.70

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Solution

The fourth proportional to 171,140.10, 256,705.35 and 77,645.70 is: 116,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,140.10 : 256,705.35 = 77,645.70 : x
  2. Step 2: Convert to fraction form
    171,140.10/256,705.35 = 77,645.70/x
  3. Step 3: Cross multiply
    171,140.10x = 256,705.35 × 77,645.70
  4. Step 4: Simplify right side
    171,140.10x = 19,932,066,594.50
  5. Step 5: Solve for x
    x = 19,932,066,594.50/171,140.10
  6. Step 6: Final answer
    x = 116,466.37

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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.