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Finding the Fourth Proportional to 205,271.80, 307,389.30 and 134,769.40

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Solution

The fourth proportional to 205,271.80, 307,389.30 and 134,769.40 is: 201,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,271.80 : 307,389.30 = 134,769.40 : x
  2. Step 2: Convert to fraction form
    205,271.80/307,389.30 = 134,769.40/x
  3. Step 3: Cross multiply
    205,271.80x = 307,389.30 × 134,769.40
  4. Step 4: Simplify right side
    205,271.80x = 41,426,671,527.42
  5. Step 5: Solve for x
    x = 41,426,671,527.42/205,271.80
  6. Step 6: Final answer
    x = 201,813.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.