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Finding the Fourth Proportional to 242,860.97, 364,263.06 and 65,354.03

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Solution

The fourth proportional to 242,860.97, 364,263.06 and 65,354.03 is: 98,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,860.97 : 364,263.06 = 65,354.03 : x
  2. Step 2: Convert to fraction form
    242,860.97/364,263.06 = 65,354.03/x
  3. Step 3: Cross multiply
    242,860.97x = 364,263.06 × 65,354.03
  4. Step 4: Simplify right side
    242,860.97x = 23,806,058,951.13
  5. Step 5: Solve for x
    x = 23,806,058,951.13/242,860.97
  6. Step 6: Final answer
    x = 98,023.40

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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.