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Finding the Fourth Proportional to 104,468.64, 144,285.42 and 70,418.40

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Solution

The fourth proportional to 104,468.64, 144,285.42 and 70,418.40 is: 97,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,468.64 : 144,285.42 = 70,418.40 : x
  2. Step 2: Convert to fraction form
    104,468.64/144,285.42 = 70,418.40/x
  3. Step 3: Cross multiply
    104,468.64x = 144,285.42 × 70,418.40
  4. Step 4: Simplify right side
    104,468.64x = 10,160,348,419.73
  5. Step 5: Solve for x
    x = 10,160,348,419.73/104,468.64
  6. Step 6: Final answer
    x = 97,257.40

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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.