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Finding the Fourth Proportional to 342,746.46, 514,141.47 and 106,069.26

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Solution

The fourth proportional to 342,746.46, 514,141.47 and 106,069.26 is: 159,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,746.46 : 514,141.47 = 106,069.26 : x
  2. Step 2: Convert to fraction form
    342,746.46/514,141.47 = 106,069.26/x
  3. Step 3: Cross multiply
    342,746.46x = 514,141.47 × 106,069.26
  4. Step 4: Simplify right side
    342,746.46x = 54,534,605,258.21
  5. Step 5: Solve for x
    x = 54,534,605,258.21/342,746.46
  6. Step 6: Final answer
    x = 159,110.63

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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.