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Finding the Fourth Proportional to 208,041.66, 311,875.17 and 74,828.28

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Solution

The fourth proportional to 208,041.66, 311,875.17 and 74,828.28 is: 112,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,041.66 : 311,875.17 = 74,828.28 : x
  2. Step 2: Convert to fraction form
    208,041.66/311,875.17 = 74,828.28/x
  3. Step 3: Cross multiply
    208,041.66x = 311,875.17 × 74,828.28
  4. Step 4: Simplify right side
    208,041.66x = 23,337,082,545.81
  5. Step 5: Solve for x
    x = 23,337,082,545.81/208,041.66
  6. Step 6: Final answer
    x = 112,175.04

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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.