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Finding the Fourth Proportional to 151,127.48, 208,555.93 and 83,143

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Solution

The fourth proportional to 151,127.48, 208,555.93 and 83,143 is: 114,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,127.48 : 208,555.93 = 83,143 : x
  2. Step 2: Convert to fraction form
    151,127.48/208,555.93 = 83,143/x
  3. Step 3: Cross multiply
    151,127.48x = 208,555.93 × 83,143
  4. Step 4: Simplify right side
    151,127.48x = 17,339,965,687.99
  5. Step 5: Solve for x
    x = 17,339,965,687.99/151,127.48
  6. Step 6: Final answer
    x = 114,737.34

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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.