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Finding the Fourth Proportional to 171,866, 257,788.64 and 102,188.72

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Solution

The fourth proportional to 171,866, 257,788.64 and 102,188.72 is: 153,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,866 : 257,788.64 = 102,188.72 : x
  2. Step 2: Convert to fraction form
    171,866/257,788.64 = 102,188.72/x
  3. Step 3: Cross multiply
    171,866x = 257,788.64 × 102,188.72
  4. Step 4: Simplify right side
    171,866x = 26,343,091,152.14
  5. Step 5: Solve for x
    x = 26,343,091,152.14/171,866
  6. Step 6: Final answer
    x = 153,276.92

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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.