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Finding the Fourth Proportional to 200,886.92, 301,048.68 and 144,461.51

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Solution

The fourth proportional to 200,886.92, 301,048.68 and 144,461.51 is: 216,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.92 : 301,048.68 = 144,461.51 : x
  2. Step 2: Convert to fraction form
    200,886.92/301,048.68 = 144,461.51/x
  3. Step 3: Cross multiply
    200,886.92x = 301,048.68 × 144,461.51
  4. Step 4: Simplify right side
    200,886.92x = 43,489,946,896.31
  5. Step 5: Solve for x
    x = 43,489,946,896.31/200,886.92
  6. Step 6: Final answer
    x = 216,489.69

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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.