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Finding the Fourth Proportional to 257,522.28, 355,376.94 and 142,801.08

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Solution

The fourth proportional to 257,522.28, 355,376.94 and 142,801.08 is: 197,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,522.28 : 355,376.94 = 142,801.08 : x
  2. Step 2: Convert to fraction form
    257,522.28/355,376.94 = 142,801.08/x
  3. Step 3: Cross multiply
    257,522.28x = 355,376.94 × 142,801.08
  4. Step 4: Simplify right side
    257,522.28x = 50,748,210,839.10
  5. Step 5: Solve for x
    x = 50,748,210,839.10/257,522.28
  6. Step 6: Final answer
    x = 197,063.38

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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.