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Finding the Fourth Proportional to 367,155.84, 550,413 and 142,361.40

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Solution

The fourth proportional to 367,155.84, 550,413 and 142,361.40 is: 213,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,155.84 : 550,413 = 142,361.40 : x
  2. Step 2: Convert to fraction form
    367,155.84/550,413 = 142,361.40/x
  3. Step 3: Cross multiply
    367,155.84x = 550,413 × 142,361.40
  4. Step 4: Simplify right side
    367,155.84x = 78,357,565,258.20
  5. Step 5: Solve for x
    x = 78,357,565,258.20/367,155.84
  6. Step 6: Final answer
    x = 213,417.73

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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.