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Finding the Fourth Proportional to 189,328.02, 260,741.16 and 185,194.59

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Solution

The fourth proportional to 189,328.02, 260,741.16 and 185,194.59 is: 255,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,328.02 : 260,741.16 = 185,194.59 : x
  2. Step 2: Convert to fraction form
    189,328.02/260,741.16 = 185,194.59/x
  3. Step 3: Cross multiply
    189,328.02x = 260,741.16 × 185,194.59
  4. Step 4: Simplify right side
    189,328.02x = 48,287,852,222.32
  5. Step 5: Solve for x
    x = 48,287,852,222.32/189,328.02
  6. Step 6: Final answer
    x = 255,048.63

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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.