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Finding the Fourth Proportional to 257,277.95, 355,043.22 and 142,564.02

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Solution

The fourth proportional to 257,277.95, 355,043.22 and 142,564.02 is: 196,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,277.95 : 355,043.22 = 142,564.02 : x
  2. Step 2: Convert to fraction form
    257,277.95/355,043.22 = 142,564.02/x
  3. Step 3: Cross multiply
    257,277.95x = 355,043.22 × 142,564.02
  4. Step 4: Simplify right side
    257,277.95x = 50,616,387,116.52
  5. Step 5: Solve for x
    x = 50,616,387,116.52/257,277.95
  6. Step 6: Final answer
    x = 196,738.15

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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.