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Finding the Fourth Proportional to 189,883.53, 262,032.15 and 105,002.01

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Solution

The fourth proportional to 189,883.53, 262,032.15 and 105,002.01 is: 144,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,883.53 : 262,032.15 = 105,002.01 : x
  2. Step 2: Convert to fraction form
    189,883.53/262,032.15 = 105,002.01/x
  3. Step 3: Cross multiply
    189,883.53x = 262,032.15 × 105,002.01
  4. Step 4: Simplify right side
    189,883.53x = 27,513,902,434.62
  5. Step 5: Solve for x
    x = 27,513,902,434.62/189,883.53
  6. Step 6: Final answer
    x = 144,898.84

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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.