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Finding the Fourth Proportional to 237,939.96, 356,208.74 and 208,415.46

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Solution

The fourth proportional to 237,939.96, 356,208.74 and 208,415.46 is: 312,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,939.96 : 356,208.74 = 208,415.46 : x
  2. Step 2: Convert to fraction form
    237,939.96/356,208.74 = 208,415.46/x
  3. Step 3: Cross multiply
    237,939.96x = 356,208.74 × 208,415.46
  4. Step 4: Simplify right side
    237,939.96x = 74,239,409,478.38
  5. Step 5: Solve for x
    x = 74,239,409,478.38/237,939.96
  6. Step 6: Final answer
    x = 312,009.00

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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.