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Finding the Fourth Proportional to 151,034.80, 208,428.80 and 83,056.16

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Solution

The fourth proportional to 151,034.80, 208,428.80 and 83,056.16 is: 114,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,034.80 : 208,428.80 = 83,056.16 : x
  2. Step 2: Convert to fraction form
    151,034.80/208,428.80 = 83,056.16/x
  3. Step 3: Cross multiply
    151,034.80x = 208,428.80 × 83,056.16
  4. Step 4: Simplify right side
    151,034.80x = 17,311,295,761.41
  5. Step 5: Solve for x
    x = 17,311,295,761.41/151,034.80
  6. Step 6: Final answer
    x = 114,617.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.