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Finding the Fourth Proportional to 182,412.32, 251,684.48 and 106,946.24

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Solution

The fourth proportional to 182,412.32, 251,684.48 and 106,946.24 is: 147,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,412.32 : 251,684.48 = 106,946.24 : x
  2. Step 2: Convert to fraction form
    182,412.32/251,684.48 = 106,946.24/x
  3. Step 3: Cross multiply
    182,412.32x = 251,684.48 × 106,946.24
  4. Step 4: Simplify right side
    182,412.32x = 26,916,708,802.36
  5. Step 5: Solve for x
    x = 26,916,708,802.36/182,412.32
  6. Step 6: Final answer
    x = 147,559.71

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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.