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Finding the Fourth Proportional to 142,318.94, 213,405.86 and 47,515.08

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Solution

The fourth proportional to 142,318.94, 213,405.86 and 47,515.08 is: 71,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,318.94 : 213,405.86 = 47,515.08 : x
  2. Step 2: Convert to fraction form
    142,318.94/213,405.86 = 47,515.08/x
  3. Step 3: Cross multiply
    142,318.94x = 213,405.86 × 47,515.08
  4. Step 4: Simplify right side
    142,318.94x = 10,139,996,510.37
  5. Step 5: Solve for x
    x = 10,139,996,510.37/142,318.94
  6. Step 6: Final answer
    x = 71,248.40

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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.