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Finding the Fourth Proportional to 186,231.71, 257,005.56 and 105,662.63

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Solution

The fourth proportional to 186,231.71, 257,005.56 and 105,662.63 is: 145,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,231.71 : 257,005.56 = 105,662.63 : x
  2. Step 2: Convert to fraction form
    186,231.71/257,005.56 = 105,662.63/x
  3. Step 3: Cross multiply
    186,231.71x = 257,005.56 × 105,662.63
  4. Step 4: Simplify right side
    186,231.71x = 27,155,883,394.22
  5. Step 5: Solve for x
    x = 27,155,883,394.22/186,231.71
  6. Step 6: Final answer
    x = 145,817.72

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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.