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Finding the Fourth Proportional to 223,842, 308,924.16 and 167,154.96

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Solution

The fourth proportional to 223,842, 308,924.16 and 167,154.96 is: 230,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,842 : 308,924.16 = 167,154.96 : x
  2. Step 2: Convert to fraction form
    223,842/308,924.16 = 167,154.96/x
  3. Step 3: Cross multiply
    223,842x = 308,924.16 × 167,154.96
  4. Step 4: Simplify right side
    223,842x = 51,638,205,607.83
  5. Step 5: Solve for x
    x = 51,638,205,607.83/223,842
  6. Step 6: Final answer
    x = 230,690.42

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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.