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Finding the Fourth Proportional to 174,421, 261,670.50 and 63,613

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Solution

The fourth proportional to 174,421, 261,670.50 and 63,613 is: 95,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,421 : 261,670.50 = 63,613 : x
  2. Step 2: Convert to fraction form
    174,421/261,670.50 = 63,613/x
  3. Step 3: Cross multiply
    174,421x = 261,670.50 × 63,613
  4. Step 4: Simplify right side
    174,421x = 16,645,645,516.50
  5. Step 5: Solve for x
    x = 16,645,645,516.50/174,421
  6. Step 6: Final answer
    x = 95,433.72

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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.