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Finding the Fourth Proportional to 189,252.92, 260,897.62 and 148,896.60

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Solution

The fourth proportional to 189,252.92, 260,897.62 and 148,896.60 is: 205,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,252.92 : 260,897.62 = 148,896.60 : x
  2. Step 2: Convert to fraction form
    189,252.92/260,897.62 = 148,896.60/x
  3. Step 3: Cross multiply
    189,252.92x = 260,897.62 × 148,896.60
  4. Step 4: Simplify right side
    189,252.92x = 38,846,768,566.09
  5. Step 5: Solve for x
    x = 38,846,768,566.09/189,252.92
  6. Step 6: Final answer
    x = 205,263.77

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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.