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Finding the Fourth Proportional to 194,998.73, 292,283.42 and 127,502.93

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Solution

The fourth proportional to 194,998.73, 292,283.42 and 127,502.93 is: 191,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,998.73 : 292,283.42 = 127,502.93 : x
  2. Step 2: Convert to fraction form
    194,998.73/292,283.42 = 127,502.93/x
  3. Step 3: Cross multiply
    194,998.73x = 292,283.42 × 127,502.93
  4. Step 4: Simplify right side
    194,998.73x = 37,266,992,440.42
  5. Step 5: Solve for x
    x = 37,266,992,440.42/194,998.73
  6. Step 6: Final answer
    x = 191,114.03

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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.