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Finding the Fourth Proportional to 242,853.06, 364,059.06 and 84,995.40

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Solution

The fourth proportional to 242,853.06, 364,059.06 and 84,995.40 is: 127,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,853.06 : 364,059.06 = 84,995.40 : x
  2. Step 2: Convert to fraction form
    242,853.06/364,059.06 = 84,995.40/x
  3. Step 3: Cross multiply
    242,853.06x = 364,059.06 × 84,995.40
  4. Step 4: Simplify right side
    242,853.06x = 30,943,345,428.32
  5. Step 5: Solve for x
    x = 30,943,345,428.32/242,853.06
  6. Step 6: Final answer
    x = 127,415.92

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Why These Related Problems?

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