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Finding the Fourth Proportional to 171,926.60, 257,926.35 and 51,973.70

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Solution

The fourth proportional to 171,926.60, 257,926.35 and 51,973.70 is: 77,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,926.60 : 257,926.35 = 51,973.70 : x
  2. Step 2: Convert to fraction form
    171,926.60/257,926.35 = 51,973.70/x
  3. Step 3: Cross multiply
    171,926.60x = 257,926.35 × 51,973.70
  4. Step 4: Simplify right side
    171,926.60x = 13,405,386,737.00
  5. Step 5: Solve for x
    x = 13,405,386,737.00/171,926.60
  6. Step 6: Final answer
    x = 77,971.57

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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.