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Finding the Fourth Proportional to 144,362.36, 216,543.54 and 70,427

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Solution

The fourth proportional to 144,362.36, 216,543.54 and 70,427 is: 105,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,362.36 : 216,543.54 = 70,427 : x
  2. Step 2: Convert to fraction form
    144,362.36/216,543.54 = 70,427/x
  3. Step 3: Cross multiply
    144,362.36x = 216,543.54 × 70,427
  4. Step 4: Simplify right side
    144,362.36x = 15,250,511,891.58
  5. Step 5: Solve for x
    x = 15,250,511,891.58/144,362.36
  6. Step 6: Final answer
    x = 105,640.50

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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.