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Finding the Fourth Proportional to 186,881.40, 280,235.70 and 81,646.20

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Solution

The fourth proportional to 186,881.40, 280,235.70 and 81,646.20 is: 122,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,881.40 : 280,235.70 = 81,646.20 : x
  2. Step 2: Convert to fraction form
    186,881.40/280,235.70 = 81,646.20/x
  3. Step 3: Cross multiply
    186,881.40x = 280,235.70 × 81,646.20
  4. Step 4: Simplify right side
    186,881.40x = 22,880,180,009.34
  5. Step 5: Solve for x
    x = 22,880,180,009.34/186,881.40
  6. Step 6: Final answer
    x = 122,431.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.