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Finding the Fourth Proportional to 186,967.14, 280,032.45 and 86,977.50

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Solution

The fourth proportional to 186,967.14, 280,032.45 and 86,977.50 is: 130,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,967.14 : 280,032.45 = 86,977.50 : x
  2. Step 2: Convert to fraction form
    186,967.14/280,032.45 = 86,977.50/x
  3. Step 3: Cross multiply
    186,967.14x = 280,032.45 × 86,977.50
  4. Step 4: Simplify right side
    186,967.14x = 24,356,522,419.88
  5. Step 5: Solve for x
    x = 24,356,522,419.88/186,967.14
  6. Step 6: Final answer
    x = 130,271.67

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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.