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Finding the Fourth Proportional to 181,873.26, 250,985.62 and 105,407.20

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Solution

The fourth proportional to 181,873.26, 250,985.62 and 105,407.20 is: 145,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,873.26 : 250,985.62 = 105,407.20 : x
  2. Step 2: Convert to fraction form
    181,873.26/250,985.62 = 105,407.20/x
  3. Step 3: Cross multiply
    181,873.26x = 250,985.62 × 105,407.20
  4. Step 4: Simplify right side
    181,873.26x = 26,455,691,444.46
  5. Step 5: Solve for x
    x = 26,455,691,444.46/181,873.26
  6. Step 6: Final answer
    x = 145,462.24

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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.