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Finding the Fourth Proportional to 114,465.32, 157,961.63 and 64,164.32

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Solution

The fourth proportional to 114,465.32, 157,961.63 and 64,164.32 is: 88,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,465.32 : 157,961.63 = 64,164.32 : x
  2. Step 2: Convert to fraction form
    114,465.32/157,961.63 = 64,164.32/x
  3. Step 3: Cross multiply
    114,465.32x = 157,961.63 × 64,164.32
  4. Step 4: Simplify right side
    114,465.32x = 10,135,500,575.04
  5. Step 5: Solve for x
    x = 10,135,500,575.04/114,465.32
  6. Step 6: Final answer
    x = 88,546.47

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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.