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Finding the Fourth Proportional to 186,295.23, 257,089.01 and 101,412.09

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Solution

The fourth proportional to 186,295.23, 257,089.01 and 101,412.09 is: 139,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,295.23 : 257,089.01 = 101,412.09 : x
  2. Step 2: Convert to fraction form
    186,295.23/257,089.01 = 101,412.09/x
  3. Step 3: Cross multiply
    186,295.23x = 257,089.01 × 101,412.09
  4. Step 4: Simplify right side
    186,295.23x = 26,071,933,313.07
  5. Step 5: Solve for x
    x = 26,071,933,313.07/186,295.23
  6. Step 6: Final answer
    x = 139,949.55

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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.