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Finding the Fourth Proportional to 183,959.40, 275,939.10 and 152,855.40

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Solution

The fourth proportional to 183,959.40, 275,939.10 and 152,855.40 is: 229,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,959.40 : 275,939.10 = 152,855.40 : x
  2. Step 2: Convert to fraction form
    183,959.40/275,939.10 = 152,855.40/x
  3. Step 3: Cross multiply
    183,959.40x = 275,939.10 × 152,855.40
  4. Step 4: Simplify right side
    183,959.40x = 42,178,781,506.14
  5. Step 5: Solve for x
    x = 42,178,781,506.14/183,959.40
  6. Step 6: Final answer
    x = 229,283.10

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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.