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Finding the Fourth Proportional to 186,752.39, 280,210.73 and 97,984.96

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Solution

The fourth proportional to 186,752.39, 280,210.73 and 97,984.96 is: 147,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,752.39 : 280,210.73 = 97,984.96 : x
  2. Step 2: Convert to fraction form
    186,752.39/280,210.73 = 97,984.96/x
  3. Step 3: Cross multiply
    186,752.39x = 280,210.73 × 97,984.96
  4. Step 4: Simplify right side
    186,752.39x = 27,456,435,980.17
  5. Step 5: Solve for x
    x = 27,456,435,980.17/186,752.39
  6. Step 6: Final answer
    x = 147,020.54

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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.