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Finding the Fourth Proportional to 242,704.83, 364,032.57 and 65,188.74

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Solution

The fourth proportional to 242,704.83, 364,032.57 and 65,188.74 is: 97,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,704.83 : 364,032.57 = 65,188.74 : x
  2. Step 2: Convert to fraction form
    242,704.83/364,032.57 = 65,188.74/x
  3. Step 3: Cross multiply
    242,704.83x = 364,032.57 × 65,188.74
  4. Step 4: Simplify right side
    242,704.83x = 23,730,824,557.26
  5. Step 5: Solve for x
    x = 23,730,824,557.26/242,704.83
  6. Step 6: Final answer
    x = 97,776.48

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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.