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Finding the Fourth Proportional to 171,742.23, 257,608.71 and 76,946.67

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Solution

The fourth proportional to 171,742.23, 257,608.71 and 76,946.67 is: 115,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,742.23 : 257,608.71 = 76,946.67 : x
  2. Step 2: Convert to fraction form
    171,742.23/257,608.71 = 76,946.67/x
  3. Step 3: Cross multiply
    171,742.23x = 257,608.71 × 76,946.67
  4. Step 4: Simplify right side
    171,742.23x = 19,822,132,397.50
  5. Step 5: Solve for x
    x = 19,822,132,397.50/171,742.23
  6. Step 6: Final answer
    x = 115,417.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.