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Finding the Fourth Proportional to 144,644.70, 216,869.85 and 65,718.30

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Solution

The fourth proportional to 144,644.70, 216,869.85 and 65,718.30 is: 98,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,644.70 : 216,869.85 = 65,718.30 : x
  2. Step 2: Convert to fraction form
    144,644.70/216,869.85 = 65,718.30/x
  3. Step 3: Cross multiply
    144,644.70x = 216,869.85 × 65,718.30
  4. Step 4: Simplify right side
    144,644.70x = 14,252,317,863.26
  5. Step 5: Solve for x
    x = 14,252,317,863.26/144,644.70
  6. Step 6: Final answer
    x = 98,533.29

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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.