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Finding the Fourth Proportional to 122,901.96, 184,356.54 and 48,019.08

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Solution

The fourth proportional to 122,901.96, 184,356.54 and 48,019.08 is: 72,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,901.96 : 184,356.54 = 48,019.08 : x
  2. Step 2: Convert to fraction form
    122,901.96/184,356.54 = 48,019.08/x
  3. Step 3: Cross multiply
    122,901.96x = 184,356.54 × 48,019.08
  4. Step 4: Simplify right side
    122,901.96x = 8,852,631,442.78
  5. Step 5: Solve for x
    x = 8,852,631,442.78/122,901.96
  6. Step 6: Final answer
    x = 72,030.03

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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.