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Finding the Fourth Proportional to 188,646.82, 260,325.06 and 102,605.86

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Solution

The fourth proportional to 188,646.82, 260,325.06 and 102,605.86 is: 141,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,646.82 : 260,325.06 = 102,605.86 : x
  2. Step 2: Convert to fraction form
    188,646.82/260,325.06 = 102,605.86/x
  3. Step 3: Cross multiply
    188,646.82x = 260,325.06 × 102,605.86
  4. Step 4: Simplify right side
    188,646.82x = 26,710,875,902.71
  5. Step 5: Solve for x
    x = 26,710,875,902.71/188,646.82
  6. Step 6: Final answer
    x = 141,591.98

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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.