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Finding the Fourth Proportional to 100,210.32, 138,288.12 and 54,886.08

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Solution

The fourth proportional to 100,210.32, 138,288.12 and 54,886.08 is: 75,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,210.32 : 138,288.12 = 54,886.08 : x
  2. Step 2: Convert to fraction form
    100,210.32/138,288.12 = 54,886.08/x
  3. Step 3: Cross multiply
    100,210.32x = 138,288.12 × 54,886.08
  4. Step 4: Simplify right side
    100,210.32x = 7,590,092,817.37
  5. Step 5: Solve for x
    x = 7,590,092,817.37/100,210.32
  6. Step 6: Final answer
    x = 75,741.63

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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.