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Finding the Fourth Proportional to 362,494.64, 543,742.32 and 137,802.32

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Solution

The fourth proportional to 362,494.64, 543,742.32 and 137,802.32 is: 206,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,494.64 : 543,742.32 = 137,802.32 : x
  2. Step 2: Convert to fraction form
    362,494.64/543,742.32 = 137,802.32/x
  3. Step 3: Cross multiply
    362,494.64x = 543,742.32 × 137,802.32
  4. Step 4: Simplify right side
    362,494.64x = 74,928,953,178.18
  5. Step 5: Solve for x
    x = 74,928,953,178.18/362,494.64
  6. Step 6: Final answer
    x = 206,703.62

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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.