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Finding the Fourth Proportional to 152,065.57, 209,849.25 and 84,085.51

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Solution

The fourth proportional to 152,065.57, 209,849.25 and 84,085.51 is: 116,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,065.57 : 209,849.25 = 84,085.51 : x
  2. Step 2: Convert to fraction form
    152,065.57/209,849.25 = 84,085.51/x
  3. Step 3: Cross multiply
    152,065.57x = 209,849.25 × 84,085.51
  4. Step 4: Simplify right side
    152,065.57x = 17,645,281,209.37
  5. Step 5: Solve for x
    x = 17,645,281,209.37/152,065.57
  6. Step 6: Final answer
    x = 116,037.32

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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.