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Finding the Fourth Proportional to 242,364.66, 363,382.97 and 84,507

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Solution

The fourth proportional to 242,364.66, 363,382.97 and 84,507 is: 126,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,364.66 : 363,382.97 = 84,507 : x
  2. Step 2: Convert to fraction form
    242,364.66/363,382.97 = 84,507/x
  3. Step 3: Cross multiply
    242,364.66x = 363,382.97 × 84,507
  4. Step 4: Simplify right side
    242,364.66x = 30,708,404,223.26
  5. Step 5: Solve for x
    x = 30,708,404,223.26/242,364.66
  6. Step 6: Final answer
    x = 126,703.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.