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Finding the Fourth Proportional to 98,282.94, 147,424.41 and 28,162.25

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Solution

The fourth proportional to 98,282.94, 147,424.41 and 28,162.25 is: 42,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,282.94 : 147,424.41 = 28,162.25 : x
  2. Step 2: Convert to fraction form
    98,282.94/147,424.41 = 28,162.25/x
  3. Step 3: Cross multiply
    98,282.94x = 147,424.41 × 28,162.25
  4. Step 4: Simplify right side
    98,282.94x = 4,151,803,090.52
  5. Step 5: Solve for x
    x = 4,151,803,090.52/98,282.94
  6. Step 6: Final answer
    x = 42,243.38

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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.