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Finding the Fourth Proportional to 189,886.53, 262,036.29 and 105,005.01

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Solution

The fourth proportional to 189,886.53, 262,036.29 and 105,005.01 is: 144,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,886.53 : 262,036.29 = 105,005.01 : x
  2. Step 2: Convert to fraction form
    189,886.53/262,036.29 = 105,005.01/x
  3. Step 3: Cross multiply
    189,886.53x = 262,036.29 × 105,005.01
  4. Step 4: Simplify right side
    189,886.53x = 27,515,123,251.81
  5. Step 5: Solve for x
    x = 27,515,123,251.81/189,886.53
  6. Step 6: Final answer
    x = 144,902.98

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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.