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Finding the Fourth Proportional to 186,674, 257,600.76 and 106,090.88

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Solution

The fourth proportional to 186,674, 257,600.76 and 106,090.88 is: 146,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,674 : 257,600.76 = 106,090.88 : x
  2. Step 2: Convert to fraction form
    186,674/257,600.76 = 106,090.88/x
  3. Step 3: Cross multiply
    186,674x = 257,600.76 × 106,090.88
  4. Step 4: Simplify right side
    186,674x = 27,329,091,317.07
  5. Step 5: Solve for x
    x = 27,329,091,317.07/186,674
  6. Step 6: Final answer
    x = 146,400.09

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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.