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Finding the Fourth Proportional to 114,602.51, 171,938.96 and 54,707.42

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Solution

The fourth proportional to 114,602.51, 171,938.96 and 54,707.42 is: 82,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,602.51 : 171,938.96 = 54,707.42 : x
  2. Step 2: Convert to fraction form
    114,602.51/171,938.96 = 54,707.42/x
  3. Step 3: Cross multiply
    114,602.51x = 171,938.96 × 54,707.42
  4. Step 4: Simplify right side
    114,602.51x = 9,406,335,765.85
  5. Step 5: Solve for x
    x = 9,406,335,765.85/114,602.51
  6. Step 6: Final answer
    x = 82,077.92

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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.