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Finding the Fourth Proportional to 115,907.16, 159,895.44 and 75,602.64

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Solution

The fourth proportional to 115,907.16, 159,895.44 and 75,602.64 is: 104,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,907.16 : 159,895.44 = 75,602.64 : x
  2. Step 2: Convert to fraction form
    115,907.16/159,895.44 = 75,602.64/x
  3. Step 3: Cross multiply
    115,907.16x = 159,895.44 × 75,602.64
  4. Step 4: Simplify right side
    115,907.16x = 12,088,517,387.96
  5. Step 5: Solve for x
    x = 12,088,517,387.96/115,907.16
  6. Step 6: Final answer
    x = 104,294.83

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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.