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Finding the Fourth Proportional to 152,193.32, 210,022.74 and 84,208.52

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Solution

The fourth proportional to 152,193.32, 210,022.74 and 84,208.52 is: 116,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,193.32 : 210,022.74 = 84,208.52 : x
  2. Step 2: Convert to fraction form
    152,193.32/210,022.74 = 84,208.52/x
  3. Step 3: Cross multiply
    152,193.32x = 210,022.74 × 84,208.52
  4. Step 4: Simplify right side
    152,193.32x = 17,685,704,101.74
  5. Step 5: Solve for x
    x = 17,685,704,101.74/152,193.32
  6. Step 6: Final answer
    x = 116,205.52

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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.