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Finding the Fourth Proportional to 242,896.64, 364,312.08 and 65,414.40

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Solution

The fourth proportional to 242,896.64, 364,312.08 and 65,414.40 is: 98,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,896.64 : 364,312.08 = 65,414.40 : x
  2. Step 2: Convert to fraction form
    242,896.64/364,312.08 = 65,414.40/x
  3. Step 3: Cross multiply
    242,896.64x = 364,312.08 × 65,414.40
  4. Step 4: Simplify right side
    242,896.64x = 23,831,256,125.95
  5. Step 5: Solve for x
    x = 23,831,256,125.95/242,896.64
  6. Step 6: Final answer
    x = 98,112.75

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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.