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Finding the Fourth Proportional to 144,273.95, 216,410.93 and 82,065.95

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Solution

The fourth proportional to 144,273.95, 216,410.93 and 82,065.95 is: 123,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,273.95 : 216,410.93 = 82,065.95 : x
  2. Step 2: Convert to fraction form
    144,273.95/216,410.93 = 82,065.95/x
  3. Step 3: Cross multiply
    144,273.95x = 216,410.93 × 82,065.95
  4. Step 4: Simplify right side
    144,273.95x = 17,759,968,150.50
  5. Step 5: Solve for x
    x = 17,759,968,150.50/144,273.95
  6. Step 6: Final answer
    x = 123,098.93

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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.