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Finding the Fourth Proportional to 186,893.53, 257,904.10 and 106,313.51

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Solution

The fourth proportional to 186,893.53, 257,904.10 and 106,313.51 is: 146,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,893.53 : 257,904.10 = 106,313.51 : x
  2. Step 2: Convert to fraction form
    186,893.53/257,904.10 = 106,313.51/x
  3. Step 3: Cross multiply
    186,893.53x = 257,904.10 × 106,313.51
  4. Step 4: Simplify right side
    186,893.53x = 27,418,690,892.04
  5. Step 5: Solve for x
    x = 27,418,690,892.04/186,893.53
  6. Step 6: Final answer
    x = 146,707.55

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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.