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Finding the Fourth Proportional to 185,109.34, 255,436.16 and 104,544.72

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Solution

The fourth proportional to 185,109.34, 255,436.16 and 104,544.72 is: 144,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,109.34 : 255,436.16 = 104,544.72 : x
  2. Step 2: Convert to fraction form
    185,109.34/255,436.16 = 104,544.72/x
  3. Step 3: Cross multiply
    185,109.34x = 255,436.16 × 104,544.72
  4. Step 4: Simplify right side
    185,109.34x = 26,704,501,825.08
  5. Step 5: Solve for x
    x = 26,704,501,825.08/185,109.34
  6. Step 6: Final answer
    x = 144,263.39

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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.