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Finding the Fourth Proportional to 238,657.59, 329,041.74 and 195,478.01

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Solution

The fourth proportional to 238,657.59, 329,041.74 and 195,478.01 is: 269,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,657.59 : 329,041.74 = 195,478.01 : x
  2. Step 2: Convert to fraction form
    238,657.59/329,041.74 = 195,478.01/x
  3. Step 3: Cross multiply
    238,657.59x = 329,041.74 × 195,478.01
  4. Step 4: Simplify right side
    238,657.59x = 64,320,424,863.88
  5. Step 5: Solve for x
    x = 64,320,424,863.88/238,657.59
  6. Step 6: Final answer
    x = 269,509.24

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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.