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Finding the Fourth Proportional to 235,486.46, 353,098.46 and 77,672.54

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Solution

The fourth proportional to 235,486.46, 353,098.46 and 77,672.54 is: 116,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,486.46 : 353,098.46 = 77,672.54 : x
  2. Step 2: Convert to fraction form
    235,486.46/353,098.46 = 77,672.54/x
  3. Step 3: Cross multiply
    235,486.46x = 353,098.46 × 77,672.54
  4. Step 4: Simplify right side
    235,486.46x = 27,426,054,258.29
  5. Step 5: Solve for x
    x = 27,426,054,258.29/235,486.46
  6. Step 6: Final answer
    x = 116,465.53

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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.