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Finding the Fourth Proportional to 217,276.32, 299,850 and 121,782.32

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Solution

The fourth proportional to 217,276.32, 299,850 and 121,782.32 is: 168,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,276.32 : 299,850 = 121,782.32 : x
  2. Step 2: Convert to fraction form
    217,276.32/299,850 = 121,782.32/x
  3. Step 3: Cross multiply
    217,276.32x = 299,850 × 121,782.32
  4. Step 4: Simplify right side
    217,276.32x = 36,516,428,652
  5. Step 5: Solve for x
    x = 36,516,428,652/217,276.32
  6. Step 6: Final answer
    x = 168,064.47

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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.