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Finding the Fourth Proportional to 198,656.94, 296,114.01 and 182,713.71

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Solution

The fourth proportional to 198,656.94, 296,114.01 and 182,713.71 is: 272,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,656.94 : 296,114.01 = 182,713.71 : x
  2. Step 2: Convert to fraction form
    198,656.94/296,114.01 = 182,713.71/x
  3. Step 3: Cross multiply
    198,656.94x = 296,114.01 × 182,713.71
  4. Step 4: Simplify right side
    198,656.94x = 54,104,088,436.51
  5. Step 5: Solve for x
    x = 54,104,088,436.51/198,656.94
  6. Step 6: Final answer
    x = 272,349.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.