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Finding the Fourth Proportional to 75,907.36, 114,110.14 and 70,426.92

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Solution

The fourth proportional to 75,907.36, 114,110.14 and 70,426.92 is: 105,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,907.36 : 114,110.14 = 70,426.92 : x
  2. Step 2: Convert to fraction form
    75,907.36/114,110.14 = 70,426.92/x
  3. Step 3: Cross multiply
    75,907.36x = 114,110.14 × 70,426.92
  4. Step 4: Simplify right side
    75,907.36x = 8,036,425,700.97
  5. Step 5: Solve for x
    x = 8,036,425,700.97/75,907.36
  6. Step 6: Final answer
    x = 105,871.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.