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Finding the Fourth Proportional to 186,856.40, 280,284.60 and 102,875.60

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Solution

The fourth proportional to 186,856.40, 280,284.60 and 102,875.60 is: 154,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,856.40 : 280,284.60 = 102,875.60 : x
  2. Step 2: Convert to fraction form
    186,856.40/280,284.60 = 102,875.60/x
  3. Step 3: Cross multiply
    186,856.40x = 280,284.60 × 102,875.60
  4. Step 4: Simplify right side
    186,856.40x = 28,834,446,395.76
  5. Step 5: Solve for x
    x = 28,834,446,395.76/186,856.40
  6. Step 6: Final answer
    x = 154,313.40

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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.