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Finding the Fourth Proportional to 151,293.09, 208,776.19 and 83,297.15

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Solution

The fourth proportional to 151,293.09, 208,776.19 and 83,297.15 is: 114,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,293.09 : 208,776.19 = 83,297.15 : x
  2. Step 2: Convert to fraction form
    151,293.09/208,776.19 = 83,297.15/x
  3. Step 3: Cross multiply
    151,293.09x = 208,776.19 × 83,297.15
  4. Step 4: Simplify right side
    151,293.09x = 17,390,460,154.49
  5. Step 5: Solve for x
    x = 17,390,460,154.49/151,293.09
  6. Step 6: Final answer
    x = 114,945.51

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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.