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Finding the Fourth Proportional to 182,293.86, 251,618.34 and 105,830.12

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Solution

The fourth proportional to 182,293.86, 251,618.34 and 105,830.12 is: 146,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,293.86 : 251,618.34 = 105,830.12 : x
  2. Step 2: Convert to fraction form
    182,293.86/251,618.34 = 105,830.12/x
  3. Step 3: Cross multiply
    182,293.86x = 251,618.34 × 105,830.12
  4. Step 4: Simplify right side
    182,293.86x = 26,628,799,116.40
  5. Step 5: Solve for x
    x = 26,628,799,116.40/182,293.86
  6. Step 6: Final answer
    x = 146,076.23

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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.