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Finding the Fourth Proportional to 302,647.65, 453,840.14 and 102,914.40

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Solution

The fourth proportional to 302,647.65, 453,840.14 and 102,914.40 is: 154,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,647.65 : 453,840.14 = 102,914.40 : x
  2. Step 2: Convert to fraction form
    302,647.65/453,840.14 = 102,914.40/x
  3. Step 3: Cross multiply
    302,647.65x = 453,840.14 × 102,914.40
  4. Step 4: Simplify right side
    302,647.65x = 46,706,685,189.44
  5. Step 5: Solve for x
    x = 46,706,685,189.44/302,647.65
  6. Step 6: Final answer
    x = 154,326.94

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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.