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Finding the Fourth Proportional to 257,499.84, 355,354.02 and 142,783.32

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Solution

The fourth proportional to 257,499.84, 355,354.02 and 142,783.32 is: 197,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,499.84 : 355,354.02 = 142,783.32 : x
  2. Step 2: Convert to fraction form
    257,499.84/355,354.02 = 142,783.32/x
  3. Step 3: Cross multiply
    257,499.84x = 355,354.02 × 142,783.32
  4. Step 4: Simplify right side
    257,499.84x = 50,738,626,750.95
  5. Step 5: Solve for x
    x = 50,738,626,750.95/257,499.84
  6. Step 6: Final answer
    x = 197,043.33

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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.