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Finding the Fourth Proportional to 214,998.30, 322,497.45 and 185,473.80

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Solution

The fourth proportional to 214,998.30, 322,497.45 and 185,473.80 is: 278,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,998.30 : 322,497.45 = 185,473.80 : x
  2. Step 2: Convert to fraction form
    214,998.30/322,497.45 = 185,473.80/x
  3. Step 3: Cross multiply
    214,998.30x = 322,497.45 × 185,473.80
  4. Step 4: Simplify right side
    214,998.30x = 59,814,827,541.81
  5. Step 5: Solve for x
    x = 59,814,827,541.81/214,998.30
  6. Step 6: Final answer
    x = 278,210.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.