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Finding the Fourth Proportional to 186,769.98, 280,237.32 and 98,002.08

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Solution

The fourth proportional to 186,769.98, 280,237.32 and 98,002.08 is: 147,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,769.98 : 280,237.32 = 98,002.08 : x
  2. Step 2: Convert to fraction form
    186,769.98/280,237.32 = 98,002.08/x
  3. Step 3: Cross multiply
    186,769.98x = 280,237.32 × 98,002.08
  4. Step 4: Simplify right side
    186,769.98x = 27,463,840,253.63
  5. Step 5: Solve for x
    x = 27,463,840,253.63/186,769.98
  6. Step 6: Final answer
    x = 147,046.33

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1.5x scale

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.