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Finding the Fourth Proportional to 151,412.15, 208,946.01 and 83,435.39

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Solution

The fourth proportional to 151,412.15, 208,946.01 and 83,435.39 is: 115,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,412.15 : 208,946.01 = 83,435.39 : x
  2. Step 2: Convert to fraction form
    151,412.15/208,946.01 = 83,435.39/x
  3. Step 3: Cross multiply
    151,412.15x = 208,946.01 × 83,435.39
  4. Step 4: Simplify right side
    151,412.15x = 17,433,491,938.48
  5. Step 5: Solve for x
    x = 17,433,491,938.48/151,412.15
  6. Step 6: Final answer
    x = 115,139.32

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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.