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Finding the Fourth Proportional to 282,447.56, 389,780.69 and 155,123.13

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Solution

The fourth proportional to 282,447.56, 389,780.69 and 155,123.13 is: 214,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,447.56 : 389,780.69 = 155,123.13 : x
  2. Step 2: Convert to fraction form
    282,447.56/389,780.69 = 155,123.13/x
  3. Step 3: Cross multiply
    282,447.56x = 389,780.69 × 155,123.13
  4. Step 4: Simplify right side
    282,447.56x = 60,463,999,870.74
  5. Step 5: Solve for x
    x = 60,463,999,870.74/282,447.56
  6. Step 6: Final answer
    x = 214,071.60

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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.