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Finding the Fourth Proportional to 105,134.50, 157,695.99 and 42,857.38

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Solution

The fourth proportional to 105,134.50, 157,695.99 and 42,857.38 is: 64,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,134.50 : 157,695.99 = 42,857.38 : x
  2. Step 2: Convert to fraction form
    105,134.50/157,695.99 = 42,857.38/x
  3. Step 3: Cross multiply
    105,134.50x = 157,695.99 × 42,857.38
  4. Step 4: Simplify right side
    105,134.50x = 6,758,436,967.91
  5. Step 5: Solve for x
    x = 6,758,436,967.91/105,134.50
  6. Step 6: Final answer
    x = 64,283.72

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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.