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Finding the Fourth Proportional to 285,300.28, 393,709.57 and 157,973.14

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Solution

The fourth proportional to 285,300.28, 393,709.57 and 157,973.14 is: 218,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,300.28 : 393,709.57 = 157,973.14 : x
  2. Step 2: Convert to fraction form
    285,300.28/393,709.57 = 157,973.14/x
  3. Step 3: Cross multiply
    285,300.28x = 393,709.57 × 157,973.14
  4. Step 4: Simplify right side
    285,300.28x = 62,195,537,020.95
  5. Step 5: Solve for x
    x = 62,195,537,020.95/285,300.28
  6. Step 6: Final answer
    x = 218,000.27

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