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Finding the Fourth Proportional to 98,978.94, 148,468.23 and 27,901.44

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Solution

The fourth proportional to 98,978.94, 148,468.23 and 27,901.44 is: 41,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,978.94 : 148,468.23 = 27,901.44 : x
  2. Step 2: Convert to fraction form
    98,978.94/148,468.23 = 27,901.44/x
  3. Step 3: Cross multiply
    98,978.94x = 148,468.23 × 27,901.44
  4. Step 4: Simplify right side
    98,978.94x = 4,142,477,411.25
  5. Step 5: Solve for x
    x = 4,142,477,411.25/98,978.94
  6. Step 6: Final answer
    x = 41,852.11

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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.