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Finding the Fourth Proportional to 125,532.96, 188,297.02 and 36,784.50

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Solution

The fourth proportional to 125,532.96, 188,297.02 and 36,784.50 is: 55,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,532.96 : 188,297.02 = 36,784.50 : x
  2. Step 2: Convert to fraction form
    125,532.96/188,297.02 = 36,784.50/x
  3. Step 3: Cross multiply
    125,532.96x = 188,297.02 × 36,784.50
  4. Step 4: Simplify right side
    125,532.96x = 6,926,411,732.19
  5. Step 5: Solve for x
    x = 6,926,411,732.19/125,532.96
  6. Step 6: Final answer
    x = 55,176.04

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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.