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Finding the Fourth Proportional to 146,642.70, 219,965.67 and 46,802.10

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Solution

The fourth proportional to 146,642.70, 219,965.67 and 46,802.10 is: 70,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,642.70 : 219,965.67 = 46,802.10 : x
  2. Step 2: Convert to fraction form
    146,642.70/219,965.67 = 46,802.10/x
  3. Step 3: Cross multiply
    146,642.70x = 219,965.67 × 46,802.10
  4. Step 4: Simplify right side
    146,642.70x = 10,294,855,283.91
  5. Step 5: Solve for x
    x = 10,294,855,283.91/146,642.70
  6. Step 6: Final answer
    x = 70,203.67

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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.