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Finding the Fourth Proportional to 162,111.07, 223,218.05 and 146,904.80

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Solution

The fourth proportional to 162,111.07, 223,218.05 and 146,904.80 is: 202,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,111.07 : 223,218.05 = 146,904.80 : x
  2. Step 2: Convert to fraction form
    162,111.07/223,218.05 = 146,904.80/x
  3. Step 3: Cross multiply
    162,111.07x = 223,218.05 × 146,904.80
  4. Step 4: Simplify right side
    162,111.07x = 32,791,802,991.64
  5. Step 5: Solve for x
    x = 32,791,802,991.64/162,111.07
  6. Step 6: Final answer
    x = 202,279.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.