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Finding the Fourth Proportional to 186,895.59, 257,906.95 and 106,315.58

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Solution

The fourth proportional to 186,895.59, 257,906.95 and 106,315.58 is: 146,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,895.59 : 257,906.95 = 106,315.58 : x
  2. Step 2: Convert to fraction form
    186,895.59/257,906.95 = 106,315.58/x
  3. Step 3: Cross multiply
    186,895.59x = 257,906.95 × 106,315.58
  4. Step 4: Simplify right side
    186,895.59x = 27,419,525,419.96
  5. Step 5: Solve for x
    x = 27,419,525,419.96/186,895.59
  6. Step 6: Final answer
    x = 146,710.39

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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.