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Finding the Fourth Proportional to 270,876.85, 406,093.50 and 102,301.48

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Solution

The fourth proportional to 270,876.85, 406,093.50 and 102,301.48 is: 153,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,876.85 : 406,093.50 = 102,301.48 : x
  2. Step 2: Convert to fraction form
    270,876.85/406,093.50 = 102,301.48/x
  3. Step 3: Cross multiply
    270,876.85x = 406,093.50 × 102,301.48
  4. Step 4: Simplify right side
    270,876.85x = 41,543,966,068.38
  5. Step 5: Solve for x
    x = 41,543,966,068.38/270,876.85
  6. Step 6: Final answer
    x = 153,368.46

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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.