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Finding the Fourth Proportional to 145,952.46, 201,409.83 and 82,289.34

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Solution

The fourth proportional to 145,952.46, 201,409.83 and 82,289.34 is: 113,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,952.46 : 201,409.83 = 82,289.34 : x
  2. Step 2: Convert to fraction form
    145,952.46/201,409.83 = 82,289.34/x
  3. Step 3: Cross multiply
    145,952.46x = 201,409.83 × 82,289.34
  4. Step 4: Simplify right side
    145,952.46x = 16,573,881,980.21
  5. Step 5: Solve for x
    x = 16,573,881,980.21/145,952.46
  6. Step 6: Final answer
    x = 113,556.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.