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Finding the Fourth Proportional to 133,815.24, 184,669.74 and 73,386

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Solution

The fourth proportional to 133,815.24, 184,669.74 and 73,386 is: 101,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,815.24 : 184,669.74 = 73,386 : x
  2. Step 2: Convert to fraction form
    133,815.24/184,669.74 = 73,386/x
  3. Step 3: Cross multiply
    133,815.24x = 184,669.74 × 73,386
  4. Step 4: Simplify right side
    133,815.24x = 13,552,173,539.64
  5. Step 5: Solve for x
    x = 13,552,173,539.64/133,815.24
  6. Step 6: Final answer
    x = 101,275.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.