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Finding the Fourth Proportional to 144,671.60, 217,007.40 and 49,901.60

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Solution

The fourth proportional to 144,671.60, 217,007.40 and 49,901.60 is: 74,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,671.60 : 217,007.40 = 49,901.60 : x
  2. Step 2: Convert to fraction form
    144,671.60/217,007.40 = 49,901.60/x
  3. Step 3: Cross multiply
    144,671.60x = 217,007.40 × 49,901.60
  4. Step 4: Simplify right side
    144,671.60x = 10,829,016,471.84
  5. Step 5: Solve for x
    x = 10,829,016,471.84/144,671.60
  6. Step 6: Final answer
    x = 74,852.40

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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.