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Finding the Fourth Proportional to 186,317.64, 257,084.48 and 105,748.56

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Solution

The fourth proportional to 186,317.64, 257,084.48 and 105,748.56 is: 145,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,317.64 : 257,084.48 = 105,748.56 : x
  2. Step 2: Convert to fraction form
    186,317.64/257,084.48 = 105,748.56/x
  3. Step 3: Cross multiply
    186,317.64x = 257,084.48 × 105,748.56
  4. Step 4: Simplify right side
    186,317.64x = 27,186,313,558.35
  5. Step 5: Solve for x
    x = 27,186,313,558.35/186,317.64
  6. Step 6: Final answer
    x = 145,913.79

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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.