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Finding the Fourth Proportional to 142,995, 214,353.03 and 68,095.11

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Solution

The fourth proportional to 142,995, 214,353.03 and 68,095.11 is: 102,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,995 : 214,353.03 = 68,095.11 : x
  2. Step 2: Convert to fraction form
    142,995/214,353.03 = 68,095.11/x
  3. Step 3: Cross multiply
    142,995x = 214,353.03 × 68,095.11
  4. Step 4: Simplify right side
    142,995x = 14,596,393,156.68
  5. Step 5: Solve for x
    x = 14,596,393,156.68/142,995
  6. Step 6: Final answer
    x = 102,076.25

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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.