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Finding the Fourth Proportional to 186,710.73, 257,683.98 and 114,098.68

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Solution

The fourth proportional to 186,710.73, 257,683.98 and 114,098.68 is: 157,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,710.73 : 257,683.98 = 114,098.68 : x
  2. Step 2: Convert to fraction form
    186,710.73/257,683.98 = 114,098.68/x
  3. Step 3: Cross multiply
    186,710.73x = 257,683.98 × 114,098.68
  4. Step 4: Simplify right side
    186,710.73x = 29,401,401,975.15
  5. Step 5: Solve for x
    x = 29,401,401,975.15/186,710.73
  6. Step 6: Final answer
    x = 157,470.34

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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.