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Finding the Fourth Proportional to 101,978.94, 152,952.60 and 52,095.90

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Solution

The fourth proportional to 101,978.94, 152,952.60 and 52,095.90 is: 78,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,978.94 : 152,952.60 = 52,095.90 : x
  2. Step 2: Convert to fraction form
    101,978.94/152,952.60 = 52,095.90/x
  3. Step 3: Cross multiply
    101,978.94x = 152,952.60 × 52,095.90
  4. Step 4: Simplify right side
    101,978.94x = 7,968,203,354.34
  5. Step 5: Solve for x
    x = 7,968,203,354.34/101,978.94
  6. Step 6: Final answer
    x = 78,135.77

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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.