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Finding the Fourth Proportional to 186,095.81, 256,811.50 and 101,214.29

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Solution

The fourth proportional to 186,095.81, 256,811.50 and 101,214.29 is: 139,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,095.81 : 256,811.50 = 101,214.29 : x
  2. Step 2: Convert to fraction form
    186,095.81/256,811.50 = 101,214.29/x
  3. Step 3: Cross multiply
    186,095.81x = 256,811.50 × 101,214.29
  4. Step 4: Simplify right side
    186,095.81x = 25,992,993,636.34
  5. Step 5: Solve for x
    x = 25,992,993,636.34/186,095.81
  6. Step 6: Final answer
    x = 139,675.33

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1.5x scale

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.