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Finding the Fourth Proportional to 235,716, 353,100.96 and 117,028.32

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Solution

The fourth proportional to 235,716, 353,100.96 and 117,028.32 is: 175,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,716 : 353,100.96 = 117,028.32 : x
  2. Step 2: Convert to fraction form
    235,716/353,100.96 = 117,028.32/x
  3. Step 3: Cross multiply
    235,716x = 353,100.96 × 117,028.32
  4. Step 4: Simplify right side
    235,716x = 41,322,812,139.19
  5. Step 5: Solve for x
    x = 41,322,812,139.19/235,716
  6. Step 6: Final answer
    x = 175,307.63

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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.