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Finding the Fourth Proportional to 152,046.69, 209,823.06 and 84,065.39

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Solution

The fourth proportional to 152,046.69, 209,823.06 and 84,065.39 is: 116,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,046.69 : 209,823.06 = 84,065.39 : x
  2. Step 2: Convert to fraction form
    152,046.69/209,823.06 = 84,065.39/x
  3. Step 3: Cross multiply
    152,046.69x = 209,823.06 × 84,065.39
  4. Step 4: Simplify right side
    152,046.69x = 17,638,858,130.25
  5. Step 5: Solve for x
    x = 17,638,858,130.25/152,046.69
  6. Step 6: Final answer
    x = 116,009.48

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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.