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Finding the Fourth Proportional to 142,318.60, 213,482.22 and 48,823

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Solution

The fourth proportional to 142,318.60, 213,482.22 and 48,823 is: 73,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,318.60 : 213,482.22 = 48,823 : x
  2. Step 2: Convert to fraction form
    142,318.60/213,482.22 = 48,823/x
  3. Step 3: Cross multiply
    142,318.60x = 213,482.22 × 48,823
  4. Step 4: Simplify right side
    142,318.60x = 10,422,842,427.06
  5. Step 5: Solve for x
    x = 10,422,842,427.06/142,318.60
  6. Step 6: Final answer
    x = 73,235.98

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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.