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Finding the Fourth Proportional to 174,489.54, 261,678.80 and 56,133.32

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Solution

The fourth proportional to 174,489.54, 261,678.80 and 56,133.32 is: 84,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,489.54 : 261,678.80 = 56,133.32 : x
  2. Step 2: Convert to fraction form
    174,489.54/261,678.80 = 56,133.32/x
  3. Step 3: Cross multiply
    174,489.54x = 261,678.80 × 56,133.32
  4. Step 4: Simplify right side
    174,489.54x = 14,688,899,817.62
  5. Step 5: Solve for x
    x = 14,688,899,817.62/174,489.54
  6. Step 6: Final answer
    x = 84,182.12

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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.