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Finding the Fourth Proportional to 238,352.94, 328,657.50 and 152,198.64

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Solution

The fourth proportional to 238,352.94, 328,657.50 and 152,198.64 is: 209,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,352.94 : 328,657.50 = 152,198.64 : x
  2. Step 2: Convert to fraction form
    238,352.94/328,657.50 = 152,198.64/x
  3. Step 3: Cross multiply
    238,352.94x = 328,657.50 × 152,198.64
  4. Step 4: Simplify right side
    238,352.94x = 50,021,224,525.80
  5. Step 5: Solve for x
    x = 50,021,224,525.80/238,352.94
  6. Step 6: Final answer
    x = 209,862.00

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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.