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Finding the Fourth Proportional to 152,112.51, 209,913.93 and 84,134.46

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Solution

The fourth proportional to 152,112.51, 209,913.93 and 84,134.46 is: 116,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,112.51 : 209,913.93 = 84,134.46 : x
  2. Step 2: Convert to fraction form
    152,112.51/209,913.93 = 84,134.46/x
  3. Step 3: Cross multiply
    152,112.51x = 209,913.93 × 84,134.46
  4. Step 4: Simplify right side
    152,112.51x = 17,660,995,147.03
  5. Step 5: Solve for x
    x = 17,660,995,147.03/152,112.51
  6. Step 6: Final answer
    x = 116,104.82

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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.