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Finding the Fourth Proportional to 152,893.81, 210,986.42 and 84,915.10

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Solution

The fourth proportional to 152,893.81, 210,986.42 and 84,915.10 is: 117,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,893.81 : 210,986.42 = 84,915.10 : x
  2. Step 2: Convert to fraction form
    152,893.81/210,986.42 = 84,915.10/x
  3. Step 3: Cross multiply
    152,893.81x = 210,986.42 × 84,915.10
  4. Step 4: Simplify right side
    152,893.81x = 17,915,933,269.75
  5. Step 5: Solve for x
    x = 17,915,933,269.75/152,893.81
  6. Step 6: Final answer
    x = 117,178.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.