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Finding the Fourth Proportional to 151,256.08, 208,731.36 and 84,188.08

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Solution

The fourth proportional to 151,256.08, 208,731.36 and 84,188.08 is: 116,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,256.08 : 208,731.36 = 84,188.08 : x
  2. Step 2: Convert to fraction form
    151,256.08/208,731.36 = 84,188.08/x
  3. Step 3: Cross multiply
    151,256.08x = 208,731.36 × 84,188.08
  4. Step 4: Simplify right side
    151,256.08x = 17,572,692,434.19
  5. Step 5: Solve for x
    x = 17,572,692,434.19/151,256.08
  6. Step 6: Final answer
    x = 116,178.42

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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.