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Finding the Fourth Proportional to 175,300, 262,818.72 and 56,900.64

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Solution

The fourth proportional to 175,300, 262,818.72 and 56,900.64 is: 85,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,300 : 262,818.72 = 56,900.64 : x
  2. Step 2: Convert to fraction form
    175,300/262,818.72 = 56,900.64/x
  3. Step 3: Cross multiply
    175,300x = 262,818.72 × 56,900.64
  4. Step 4: Simplify right side
    175,300x = 14,954,553,371.98
  5. Step 5: Solve for x
    x = 14,954,553,371.98/175,300
  6. Step 6: Final answer
    x = 85,308.35

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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.