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Finding the Fourth Proportional to 223,258.29, 307,918.26 and 146,855.85

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Solution

The fourth proportional to 223,258.29, 307,918.26 and 146,855.85 is: 202,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,258.29 : 307,918.26 = 146,855.85 : x
  2. Step 2: Convert to fraction form
    223,258.29/307,918.26 = 146,855.85/x
  3. Step 3: Cross multiply
    223,258.29x = 307,918.26 × 146,855.85
  4. Step 4: Simplify right side
    223,258.29x = 45,219,597,802.82
  5. Step 5: Solve for x
    x = 45,219,597,802.82/223,258.29
  6. Step 6: Final answer
    x = 202,543.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.