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Finding the Fourth Proportional to 185,303.78, 255,746.63 and 117,327.07

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Solution

The fourth proportional to 185,303.78, 255,746.63 and 117,327.07 is: 161,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,303.78 : 255,746.63 = 117,327.07 : x
  2. Step 2: Convert to fraction form
    185,303.78/255,746.63 = 117,327.07/x
  3. Step 3: Cross multiply
    185,303.78x = 255,746.63 × 117,327.07
  4. Step 4: Simplify right side
    185,303.78x = 30,006,002,414.23
  5. Step 5: Solve for x
    x = 30,006,002,414.23/185,303.78
  6. Step 6: Final answer
    x = 161,928.72

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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.