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Finding the Fourth Proportional to 105,167.94, 157,752.32 and 26,282.26

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Solution

The fourth proportional to 105,167.94, 157,752.32 and 26,282.26 is: 39,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,167.94 : 157,752.32 = 26,282.26 : x
  2. Step 2: Convert to fraction form
    105,167.94/157,752.32 = 26,282.26/x
  3. Step 3: Cross multiply
    105,167.94x = 157,752.32 × 26,282.26
  4. Step 4: Simplify right side
    105,167.94x = 4,146,087,489.84
  5. Step 5: Solve for x
    x = 4,146,087,489.84/105,167.94
  6. Step 6: Final answer
    x = 39,423.49

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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.