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Finding the Fourth Proportional to 189,668.34, 261,418.05 and 147,146.58

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Solution

The fourth proportional to 189,668.34, 261,418.05 and 147,146.58 is: 202,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,668.34 : 261,418.05 = 147,146.58 : x
  2. Step 2: Convert to fraction form
    189,668.34/261,418.05 = 147,146.58/x
  3. Step 3: Cross multiply
    189,668.34x = 261,418.05 × 147,146.58
  4. Step 4: Simplify right side
    189,668.34x = 38,466,772,007.77
  5. Step 5: Solve for x
    x = 38,466,772,007.77/189,668.34
  6. Step 6: Final answer
    x = 202,810.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.