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Finding the Fourth Proportional to 186,743.28, 280,041.92 and 65,133.12

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Solution

The fourth proportional to 186,743.28, 280,041.92 and 65,133.12 is: 97,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,743.28 : 280,041.92 = 65,133.12 : x
  2. Step 2: Convert to fraction form
    186,743.28/280,041.92 = 65,133.12/x
  3. Step 3: Cross multiply
    186,743.28x = 280,041.92 × 65,133.12
  4. Step 4: Simplify right side
    186,743.28x = 18,240,003,980.39
  5. Step 5: Solve for x
    x = 18,240,003,980.39/186,743.28
  6. Step 6: Final answer
    x = 97,674.22

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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.