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Finding the Fourth Proportional to 377,071.82, 565,487.52 and 124,305.20

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Solution

The fourth proportional to 377,071.82, 565,487.52 and 124,305.20 is: 186,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,071.82 : 565,487.52 = 124,305.20 : x
  2. Step 2: Convert to fraction form
    377,071.82/565,487.52 = 124,305.20/x
  3. Step 3: Cross multiply
    377,071.82x = 565,487.52 × 124,305.20
  4. Step 4: Simplify right side
    377,071.82x = 70,293,039,271.10
  5. Step 5: Solve for x
    x = 70,293,039,271.10/377,071.82
  6. Step 6: Final answer
    x = 186,418.17

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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.