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Finding the Fourth Proportional to 175,064.40, 262,013.40 and 154,069.20

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Solution

The fourth proportional to 175,064.40, 262,013.40 and 154,069.20 is: 230,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,064.40 : 262,013.40 = 154,069.20 : x
  2. Step 2: Convert to fraction form
    175,064.40/262,013.40 = 154,069.20/x
  3. Step 3: Cross multiply
    175,064.40x = 262,013.40 × 154,069.20
  4. Step 4: Simplify right side
    175,064.40x = 40,368,194,927.28
  5. Step 5: Solve for x
    x = 40,368,194,927.28/175,064.40
  6. Step 6: Final answer
    x = 230,590.54

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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.