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Finding the Fourth Proportional to 218,769, 301,901.34 and 118,167

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Solution

The fourth proportional to 218,769, 301,901.34 and 118,167 is: 163,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,769 : 301,901.34 = 118,167 : x
  2. Step 2: Convert to fraction form
    218,769/301,901.34 = 118,167/x
  3. Step 3: Cross multiply
    218,769x = 301,901.34 × 118,167
  4. Step 4: Simplify right side
    218,769x = 35,674,775,643.78
  5. Step 5: Solve for x
    x = 35,674,775,643.78/218,769
  6. Step 6: Final answer
    x = 163,070.52

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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.