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Finding the Fourth Proportional to 106,112, 159,143.68 and 46,915.52

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Solution

The fourth proportional to 106,112, 159,143.68 and 46,915.52 is: 70,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,112 : 159,143.68 = 46,915.52 : x
  2. Step 2: Convert to fraction form
    106,112/159,143.68 = 46,915.52/x
  3. Step 3: Cross multiply
    106,112x = 159,143.68 × 46,915.52
  4. Step 4: Simplify right side
    106,112x = 7,466,308,501.91
  5. Step 5: Solve for x
    x = 7,466,308,501.91/106,112
  6. Step 6: Final answer
    x = 70,362.53

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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.