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Finding the Fourth Proportional to 114,266.47, 171,294.73 and 39,368.80

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Solution

The fourth proportional to 114,266.47, 171,294.73 and 39,368.80 is: 59,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,266.47 : 171,294.73 = 39,368.80 : x
  2. Step 2: Convert to fraction form
    114,266.47/171,294.73 = 39,368.80/x
  3. Step 3: Cross multiply
    114,266.47x = 171,294.73 × 39,368.80
  4. Step 4: Simplify right side
    114,266.47x = 6,743,667,966.42
  5. Step 5: Solve for x
    x = 6,743,667,966.42/114,266.47
  6. Step 6: Final answer
    x = 59,017.03

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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.