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Finding the Fourth Proportional to 152,194.32, 210,024.12 and 84,209.52

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Solution

The fourth proportional to 152,194.32, 210,024.12 and 84,209.52 is: 116,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,194.32 : 210,024.12 = 84,209.52 : x
  2. Step 2: Convert to fraction form
    152,194.32/210,024.12 = 84,209.52/x
  3. Step 3: Cross multiply
    152,194.32x = 210,024.12 × 84,209.52
  4. Step 4: Simplify right side
    152,194.32x = 17,686,030,333.62
  5. Step 5: Solve for x
    x = 17,686,030,333.62/152,194.32
  6. Step 6: Final answer
    x = 116,206.90

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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.