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Finding the Fourth Proportional to 105,137.50, 157,700.49 and 42,860.38

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Solution

The fourth proportional to 105,137.50, 157,700.49 and 42,860.38 is: 64,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,137.50 : 157,700.49 = 42,860.38 : x
  2. Step 2: Convert to fraction form
    105,137.50/157,700.49 = 42,860.38/x
  3. Step 3: Cross multiply
    105,137.50x = 157,700.49 × 42,860.38
  4. Step 4: Simplify right side
    105,137.50x = 6,759,102,927.59
  5. Step 5: Solve for x
    x = 6,759,102,927.59/105,137.50
  6. Step 6: Final answer
    x = 64,288.22

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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.