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Finding the Fourth Proportional to 223,541.91, 308,331.47 and 147,036.56

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Solution

The fourth proportional to 223,541.91, 308,331.47 and 147,036.56 is: 202,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,541.91 : 308,331.47 = 147,036.56 : x
  2. Step 2: Convert to fraction form
    223,541.91/308,331.47 = 147,036.56/x
  3. Step 3: Cross multiply
    223,541.91x = 308,331.47 × 147,036.56
  4. Step 4: Simplify right side
    223,541.91x = 45,335,997,514.48
  5. Step 5: Solve for x
    x = 45,335,997,514.48/223,541.91
  6. Step 6: Final answer
    x = 202,807.60

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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.