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Finding the Fourth Proportional to 186,886, 257,926.44 and 123,356.08

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Solution

The fourth proportional to 186,886, 257,926.44 and 123,356.08 is: 170,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,886 : 257,926.44 = 123,356.08 : x
  2. Step 2: Convert to fraction form
    186,886/257,926.44 = 123,356.08/x
  3. Step 3: Cross multiply
    186,886x = 257,926.44 × 123,356.08
  4. Step 4: Simplify right side
    186,886x = 31,816,794,566.76
  5. Step 5: Solve for x
    x = 31,816,794,566.76/186,886
  6. Step 6: Final answer
    x = 170,247.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.