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Finding the Fourth Proportional to 105,234.16, 157,748.64 and 42,035.44

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Solution

The fourth proportional to 105,234.16, 157,748.64 and 42,035.44 is: 63,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,234.16 : 157,748.64 = 42,035.44 : x
  2. Step 2: Convert to fraction form
    105,234.16/157,748.64 = 42,035.44/x
  3. Step 3: Cross multiply
    105,234.16x = 157,748.64 × 42,035.44
  4. Step 4: Simplify right side
    105,234.16x = 6,631,033,491.80
  5. Step 5: Solve for x
    x = 6,631,033,491.80/105,234.16
  6. Step 6: Final answer
    x = 63,012.18

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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.