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Finding the Fourth Proportional to 185,807.80, 278,841.30 and 119,409.40

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Solution

The fourth proportional to 185,807.80, 278,841.30 and 119,409.40 is: 179,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,807.80 : 278,841.30 = 119,409.40 : x
  2. Step 2: Convert to fraction form
    185,807.80/278,841.30 = 119,409.40/x
  3. Step 3: Cross multiply
    185,807.80x = 278,841.30 × 119,409.40
  4. Step 4: Simplify right side
    185,807.80x = 33,296,272,328.22
  5. Step 5: Solve for x
    x = 33,296,272,328.22/185,807.80
  6. Step 6: Final answer
    x = 179,197.39

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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.