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Finding the Fourth Proportional to 189,095.50, 260,957.19 and 104,218.03

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Solution

The fourth proportional to 189,095.50, 260,957.19 and 104,218.03 is: 143,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,095.50 : 260,957.19 = 104,218.03 : x
  2. Step 2: Convert to fraction form
    189,095.50/260,957.19 = 104,218.03/x
  3. Step 3: Cross multiply
    189,095.50x = 260,957.19 × 104,218.03
  4. Step 4: Simplify right side
    189,095.50x = 27,196,444,256.14
  5. Step 5: Solve for x
    x = 27,196,444,256.14/189,095.50
  6. Step 6: Final answer
    x = 143,823.86

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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.