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Finding the Fourth Proportional to 175,136.82, 262,742.13 and 56,798.94

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Solution

The fourth proportional to 175,136.82, 262,742.13 and 56,798.94 is: 85,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,136.82 : 262,742.13 = 56,798.94 : x
  2. Step 2: Convert to fraction form
    175,136.82/262,742.13 = 56,798.94/x
  3. Step 3: Cross multiply
    175,136.82x = 262,742.13 × 56,798.94
  4. Step 4: Simplify right side
    175,136.82x = 14,923,474,477.34
  5. Step 5: Solve for x
    x = 14,923,474,477.34/175,136.82
  6. Step 6: Final answer
    x = 85,210.38

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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.