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Finding the Fourth Proportional to 152,806.39, 210,862.85 and 84,820.12

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Solution

The fourth proportional to 152,806.39, 210,862.85 and 84,820.12 is: 117,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,806.39 : 210,862.85 = 84,820.12 : x
  2. Step 2: Convert to fraction form
    152,806.39/210,862.85 = 84,820.12/x
  3. Step 3: Cross multiply
    152,806.39x = 210,862.85 × 84,820.12
  4. Step 4: Simplify right side
    152,806.39x = 17,885,411,289.28
  5. Step 5: Solve for x
    x = 17,885,411,289.28/152,806.39
  6. Step 6: Final answer
    x = 117,046.23

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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.