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Finding the Fourth Proportional to 186,902.55, 257,916.51 and 106,322.49

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Solution

The fourth proportional to 186,902.55, 257,916.51 and 106,322.49 is: 146,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,902.55 : 257,916.51 = 106,322.49 : x
  2. Step 2: Convert to fraction form
    186,902.55/257,916.51 = 106,322.49/x
  3. Step 3: Cross multiply
    186,902.55x = 257,916.51 × 106,322.49
  4. Step 4: Simplify right side
    186,902.55x = 27,422,325,555.31
  5. Step 5: Solve for x
    x = 27,422,325,555.31/186,902.55
  6. Step 6: Final answer
    x = 146,719.91

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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.