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Finding the Fourth Proportional to 265,410, 366,258.42 and 144,548.64

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Solution

The fourth proportional to 265,410, 366,258.42 and 144,548.64 is: 199,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,410 : 366,258.42 = 144,548.64 : x
  2. Step 2: Convert to fraction form
    265,410/366,258.42 = 144,548.64/x
  3. Step 3: Cross multiply
    265,410x = 366,258.42 × 144,548.64
  4. Step 4: Simplify right side
    265,410x = 52,942,156,499.55
  5. Step 5: Solve for x
    x = 52,942,156,499.55/265,410
  6. Step 6: Final answer
    x = 199,473.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.