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Finding the Fourth Proportional to 308,114.02, 462,180.44 and 105,707.28

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Solution

The fourth proportional to 308,114.02, 462,180.44 and 105,707.28 is: 158,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,114.02 : 462,180.44 = 105,707.28 : x
  2. Step 2: Convert to fraction form
    308,114.02/462,180.44 = 105,707.28/x
  3. Step 3: Cross multiply
    308,114.02x = 462,180.44 × 105,707.28
  4. Step 4: Simplify right side
    308,114.02x = 48,855,836,653.07
  5. Step 5: Solve for x
    x = 48,855,836,653.07/308,114.02
  6. Step 6: Final answer
    x = 158,564.15

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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.