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Finding the Fourth Proportional to 145,984.95, 218,958.50 and 46,155.22

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Solution

The fourth proportional to 145,984.95, 218,958.50 and 46,155.22 is: 69,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,984.95 : 218,958.50 = 46,155.22 : x
  2. Step 2: Convert to fraction form
    145,984.95/218,958.50 = 46,155.22/x
  3. Step 3: Cross multiply
    145,984.95x = 218,958.50 × 46,155.22
  4. Step 4: Simplify right side
    145,984.95x = 10,106,077,507.59
  5. Step 5: Solve for x
    x = 10,106,077,507.59/145,984.95
  6. Step 6: Final answer
    x = 69,226.84

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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.