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Finding the Fourth Proportional to 122,875.52, 184,203.52 and 47,978.24

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Solution

The fourth proportional to 122,875.52, 184,203.52 and 47,978.24 is: 71,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,875.52 : 184,203.52 = 47,978.24 : x
  2. Step 2: Convert to fraction form
    122,875.52/184,203.52 = 47,978.24/x
  3. Step 3: Cross multiply
    122,875.52x = 184,203.52 × 47,978.24
  4. Step 4: Simplify right side
    122,875.52x = 8,837,760,691.40
  5. Step 5: Solve for x
    x = 8,837,760,691.40/122,875.52
  6. Step 6: Final answer
    x = 71,924.50

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1.5x scale

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.