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Finding the Fourth Proportional to 232,437.90, 348,541.59 and 82,655.64

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Solution

The fourth proportional to 232,437.90, 348,541.59 and 82,655.64 is: 123,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,437.90 : 348,541.59 = 82,655.64 : x
  2. Step 2: Convert to fraction form
    232,437.90/348,541.59 = 82,655.64/x
  3. Step 3: Cross multiply
    232,437.90x = 348,541.59 × 82,655.64
  4. Step 4: Simplify right side
    232,437.90x = 28,808,928,188.07
  5. Step 5: Solve for x
    x = 28,808,928,188.07/232,437.90
  6. Step 6: Final answer
    x = 123,942.47

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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.