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Finding the Fourth Proportional to 146,830.16, 202,625.76 and 79,762.16

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Solution

The fourth proportional to 146,830.16, 202,625.76 and 79,762.16 is: 110,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,830.16 : 202,625.76 = 79,762.16 : x
  2. Step 2: Convert to fraction form
    146,830.16/202,625.76 = 79,762.16/x
  3. Step 3: Cross multiply
    146,830.16x = 202,625.76 × 79,762.16
  4. Step 4: Simplify right side
    146,830.16x = 16,161,868,289.24
  5. Step 5: Solve for x
    x = 16,161,868,289.24/146,830.16
  6. Step 6: Final answer
    x = 110,071.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.