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Finding the Fourth Proportional to 257,513.10, 386,140.05 and 152,364.30

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Solution

The fourth proportional to 257,513.10, 386,140.05 and 152,364.30 is: 228,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,513.10 : 386,140.05 = 152,364.30 : x
  2. Step 2: Convert to fraction form
    257,513.10/386,140.05 = 152,364.30/x
  3. Step 3: Cross multiply
    257,513.10x = 386,140.05 × 152,364.30
  4. Step 4: Simplify right side
    257,513.10x = 58,833,958,420.22
  5. Step 5: Solve for x
    x = 58,833,958,420.22/257,513.10
  6. Step 6: Final answer
    x = 228,469.77

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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.