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Finding the Fourth Proportional to 164,730, 227,157.68 and 140,935.44

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Solution

The fourth proportional to 164,730, 227,157.68 and 140,935.44 is: 194,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,730 : 227,157.68 = 140,935.44 : x
  2. Step 2: Convert to fraction form
    164,730/227,157.68 = 140,935.44/x
  3. Step 3: Cross multiply
    164,730x = 227,157.68 × 140,935.44
  4. Step 4: Simplify right side
    164,730x = 32,014,567,580.18
  5. Step 5: Solve for x
    x = 32,014,567,580.18/164,730
  6. Step 6: Final answer
    x = 194,345.70

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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.