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Finding the Fourth Proportional to 163,684.34, 245,536.90 and 51,369

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Solution

The fourth proportional to 163,684.34, 245,536.90 and 51,369 is: 77,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,684.34 : 245,536.90 = 51,369 : x
  2. Step 2: Convert to fraction form
    163,684.34/245,536.90 = 51,369/x
  3. Step 3: Cross multiply
    163,684.34x = 245,536.90 × 51,369
  4. Step 4: Simplify right side
    163,684.34x = 12,612,985,016.10
  5. Step 5: Solve for x
    x = 12,612,985,016.10/163,684.34
  6. Step 6: Final answer
    x = 77,056.76

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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.