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Finding the Fourth Proportional to 205,063.17, 282,953.22 and 136,970.92

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Solution

The fourth proportional to 205,063.17, 282,953.22 and 136,970.92 is: 188,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,063.17 : 282,953.22 = 136,970.92 : x
  2. Step 2: Convert to fraction form
    205,063.17/282,953.22 = 136,970.92/x
  3. Step 3: Cross multiply
    205,063.17x = 282,953.22 × 136,970.92
  4. Step 4: Simplify right side
    205,063.17x = 38,756,362,700.41
  5. Step 5: Solve for x
    x = 38,756,362,700.41/205,063.17
  6. Step 6: Final answer
    x = 188,997.19

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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.