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Finding the Fourth Proportional to 308,742.94, 463,109.37 and 98,378.02

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Solution

The fourth proportional to 308,742.94, 463,109.37 and 98,378.02 is: 147,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,742.94 : 463,109.37 = 98,378.02 : x
  2. Step 2: Convert to fraction form
    308,742.94/463,109.37 = 98,378.02/x
  3. Step 3: Cross multiply
    308,742.94x = 463,109.37 × 98,378.02
  4. Step 4: Simplify right side
    308,742.94x = 45,559,782,864.05
  5. Step 5: Solve for x
    x = 45,559,782,864.05/308,742.94
  6. Step 6: Final answer
    x = 147,565.42

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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.