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Finding the Fourth Proportional to 189,032.16, 260,865.18 and 104,149.23

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Solution

The fourth proportional to 189,032.16, 260,865.18 and 104,149.23 is: 143,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,032.16 : 260,865.18 = 104,149.23 : x
  2. Step 2: Convert to fraction form
    189,032.16/260,865.18 = 104,149.23/x
  3. Step 3: Cross multiply
    189,032.16x = 260,865.18 × 104,149.23
  4. Step 4: Simplify right side
    189,032.16x = 27,168,907,630.81
  5. Step 5: Solve for x
    x = 27,168,907,630.81/189,032.16
  6. Step 6: Final answer
    x = 143,726.38

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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.