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Finding the Fourth Proportional to 201,123.60, 301,685.40 and 76,448.40

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Solution

The fourth proportional to 201,123.60, 301,685.40 and 76,448.40 is: 114,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,123.60 : 301,685.40 = 76,448.40 : x
  2. Step 2: Convert to fraction form
    201,123.60/301,685.40 = 76,448.40/x
  3. Step 3: Cross multiply
    201,123.60x = 301,685.40 × 76,448.40
  4. Step 4: Simplify right side
    201,123.60x = 23,063,366,133.36
  5. Step 5: Solve for x
    x = 23,063,366,133.36/201,123.60
  6. Step 6: Final answer
    x = 114,672.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.