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Finding the Fourth Proportional to 186,669, 280,003.50 and 55,341

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Solution

The fourth proportional to 186,669, 280,003.50 and 55,341 is: 83,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,669 : 280,003.50 = 55,341 : x
  2. Step 2: Convert to fraction form
    186,669/280,003.50 = 55,341/x
  3. Step 3: Cross multiply
    186,669x = 280,003.50 × 55,341
  4. Step 4: Simplify right side
    186,669x = 15,495,673,693.50
  5. Step 5: Solve for x
    x = 15,495,673,693.50/186,669
  6. Step 6: Final answer
    x = 83,011.50

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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.