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Finding the Fourth Proportional to 183,199, 252,814.62 and 103,711

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Solution

The fourth proportional to 183,199, 252,814.62 and 103,711 is: 143,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,199 : 252,814.62 = 103,711 : x
  2. Step 2: Convert to fraction form
    183,199/252,814.62 = 103,711/x
  3. Step 3: Cross multiply
    183,199x = 252,814.62 × 103,711
  4. Step 4: Simplify right side
    183,199x = 26,219,657,054.82
  5. Step 5: Solve for x
    x = 26,219,657,054.82/183,199
  6. Step 6: Final answer
    x = 143,121.18

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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.