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Finding the Fourth Proportional to 185,345.36, 255,803.94 and 117,368.54

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Solution

The fourth proportional to 185,345.36, 255,803.94 and 117,368.54 is: 161,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,345.36 : 255,803.94 = 117,368.54 : x
  2. Step 2: Convert to fraction form
    185,345.36/255,803.94 = 117,368.54/x
  3. Step 3: Cross multiply
    185,345.36x = 255,803.94 × 117,368.54
  4. Step 4: Simplify right side
    185,345.36x = 30,023,334,964.05
  5. Step 5: Solve for x
    x = 30,023,334,964.05/185,345.36
  6. Step 6: Final answer
    x = 161,985.90

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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.