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Finding the Fourth Proportional to 186,095.94, 256,811.68 and 101,214.42

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Solution

The fourth proportional to 186,095.94, 256,811.68 and 101,214.42 is: 139,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,095.94 : 256,811.68 = 101,214.42 : x
  2. Step 2: Convert to fraction form
    186,095.94/256,811.68 = 101,214.42/x
  3. Step 3: Cross multiply
    186,095.94x = 256,811.68 × 101,214.42
  4. Step 4: Simplify right side
    186,095.94x = 25,993,043,703.33
  5. Step 5: Solve for x
    x = 25,993,043,703.33/186,095.94
  6. Step 6: Final answer
    x = 139,675.51

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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.