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Finding the Fourth Proportional to 105,783.26, 158,669 and 77,349.34

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Solution

The fourth proportional to 105,783.26, 158,669 and 77,349.34 is: 116,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,783.26 : 158,669 = 77,349.34 : x
  2. Step 2: Convert to fraction form
    105,783.26/158,669 = 77,349.34/x
  3. Step 3: Cross multiply
    105,783.26x = 158,669 × 77,349.34
  4. Step 4: Simplify right side
    105,783.26x = 12,272,942,428.46
  5. Step 5: Solve for x
    x = 12,272,942,428.46/105,783.26
  6. Step 6: Final answer
    x = 116,019.70

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