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Finding the Fourth Proportional to 186,027.98, 256,726.06 and 105,465.38

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Solution

The fourth proportional to 186,027.98, 256,726.06 and 105,465.38 is: 145,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,027.98 : 256,726.06 = 105,465.38 : x
  2. Step 2: Convert to fraction form
    186,027.98/256,726.06 = 105,465.38/x
  3. Step 3: Cross multiply
    186,027.98x = 256,726.06 × 105,465.38
  4. Step 4: Simplify right side
    186,027.98x = 27,075,709,926.51
  5. Step 5: Solve for x
    x = 27,075,709,926.51/186,027.98
  6. Step 6: Final answer
    x = 145,546.44

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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.