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Finding the Fourth Proportional to 200,534.27, 300,801.40 and 48,730.51

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Solution

The fourth proportional to 200,534.27, 300,801.40 and 48,730.51 is: 73,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,534.27 : 300,801.40 = 48,730.51 : x
  2. Step 2: Convert to fraction form
    200,534.27/300,801.40 = 48,730.51/x
  3. Step 3: Cross multiply
    200,534.27x = 300,801.40 × 48,730.51
  4. Step 4: Simplify right side
    200,534.27x = 14,658,205,884.89
  5. Step 5: Solve for x
    x = 14,658,205,884.89/200,534.27
  6. Step 6: Final answer
    x = 73,095.77

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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.