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Finding the Fourth Proportional to 268,688.64, 370,790.28 and 147,827.28

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Solution

The fourth proportional to 268,688.64, 370,790.28 and 147,827.28 is: 204,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,688.64 : 370,790.28 = 147,827.28 : x
  2. Step 2: Convert to fraction form
    268,688.64/370,790.28 = 147,827.28/x
  3. Step 3: Cross multiply
    268,688.64x = 370,790.28 × 147,827.28
  4. Step 4: Simplify right side
    268,688.64x = 54,812,918,542.84
  5. Step 5: Solve for x
    x = 54,812,918,542.84/268,688.64
  6. Step 6: Final answer
    x = 204,001.62

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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.