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Finding the Fourth Proportional to 166,657.96, 249,935.44 and 48,338

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Solution

The fourth proportional to 166,657.96, 249,935.44 and 48,338 is: 72,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,657.96 : 249,935.44 = 48,338 : x
  2. Step 2: Convert to fraction form
    166,657.96/249,935.44 = 48,338/x
  3. Step 3: Cross multiply
    166,657.96x = 249,935.44 × 48,338
  4. Step 4: Simplify right side
    166,657.96x = 12,081,379,298.72
  5. Step 5: Solve for x
    x = 12,081,379,298.72/166,657.96
  6. Step 6: Final answer
    x = 72,492.06

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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.