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Finding the Fourth Proportional to 202,296.40, 278,881.16 and 138,533.20

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Solution

The fourth proportional to 202,296.40, 278,881.16 and 138,533.20 is: 190,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,296.40 : 278,881.16 = 138,533.20 : x
  2. Step 2: Convert to fraction form
    202,296.40/278,881.16 = 138,533.20/x
  3. Step 3: Cross multiply
    202,296.40x = 278,881.16 × 138,533.20
  4. Step 4: Simplify right side
    202,296.40x = 38,634,299,514.51
  5. Step 5: Solve for x
    x = 38,634,299,514.51/202,296.40
  6. Step 6: Final answer
    x = 190,978.68

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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.