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Finding the Fourth Proportional to 268,673.64, 370,769.58 and 147,812.31

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Solution

The fourth proportional to 268,673.64, 370,769.58 and 147,812.31 is: 203,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,673.64 : 370,769.58 = 147,812.31 : x
  2. Step 2: Convert to fraction form
    268,673.64/370,769.58 = 147,812.31/x
  3. Step 3: Cross multiply
    268,673.64x = 370,769.58 × 147,812.31
  4. Step 4: Simplify right side
    268,673.64x = 54,804,308,097.53
  5. Step 5: Solve for x
    x = 54,804,308,097.53/268,673.64
  6. Step 6: Final answer
    x = 203,980.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.