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Finding the Fourth Proportional to 204,159.71, 306,301.73 and 104,389.98

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Solution

The fourth proportional to 204,159.71, 306,301.73 and 104,389.98 is: 156,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,159.71 : 306,301.73 = 104,389.98 : x
  2. Step 2: Convert to fraction form
    204,159.71/306,301.73 = 104,389.98/x
  3. Step 3: Cross multiply
    204,159.71x = 306,301.73 × 104,389.98
  4. Step 4: Simplify right side
    204,159.71x = 31,974,830,946.72
  5. Step 5: Solve for x
    x = 31,974,830,946.72/204,159.71
  6. Step 6: Final answer
    x = 156,616.76

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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.