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Finding the Fourth Proportional to 164,714.40, 246,925.80 and 146,999.70

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Solution

The fourth proportional to 164,714.40, 246,925.80 and 146,999.70 is: 220,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,714.40 : 246,925.80 = 146,999.70 : x
  2. Step 2: Convert to fraction form
    164,714.40/246,925.80 = 146,999.70/x
  3. Step 3: Cross multiply
    164,714.40x = 246,925.80 × 146,999.70
  4. Step 4: Simplify right side
    164,714.40x = 36,298,018,522.26
  5. Step 5: Solve for x
    x = 36,298,018,522.26/164,714.40
  6. Step 6: Final answer
    x = 220,369.43

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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.