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Finding the Fourth Proportional to 146,643.24, 219,857.16 and 46,746

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Solution

The fourth proportional to 146,643.24, 219,857.16 and 46,746 is: 70,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,643.24 : 219,857.16 = 46,746 : x
  2. Step 2: Convert to fraction form
    146,643.24/219,857.16 = 46,746/x
  3. Step 3: Cross multiply
    146,643.24x = 219,857.16 × 46,746
  4. Step 4: Simplify right side
    146,643.24x = 10,277,442,801.36
  5. Step 5: Solve for x
    x = 10,277,442,801.36/146,643.24
  6. Step 6: Final answer
    x = 70,084.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.