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Finding the Fourth Proportional to 257,516.23, 386,322.80 and 103,653.98

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Solution

The fourth proportional to 257,516.23, 386,322.80 and 103,653.98 is: 155,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,516.23 : 386,322.80 = 103,653.98 : x
  2. Step 2: Convert to fraction form
    257,516.23/386,322.80 = 103,653.98/x
  3. Step 3: Cross multiply
    257,516.23x = 386,322.80 × 103,653.98
  4. Step 4: Simplify right side
    257,516.23x = 40,043,895,366.62
  5. Step 5: Solve for x
    x = 40,043,895,366.62/257,516.23
  6. Step 6: Final answer
    x = 155,500.47

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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.