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Finding the Fourth Proportional to 139,777.59, 209,644.89 and 76,629

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Solution

The fourth proportional to 139,777.59, 209,644.89 and 76,629 is: 114,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,777.59 : 209,644.89 = 76,629 : x
  2. Step 2: Convert to fraction form
    139,777.59/209,644.89 = 76,629/x
  3. Step 3: Cross multiply
    139,777.59x = 209,644.89 × 76,629
  4. Step 4: Simplify right side
    139,777.59x = 16,064,878,275.81
  5. Step 5: Solve for x
    x = 16,064,878,275.81/139,777.59
  6. Step 6: Final answer
    x = 114,931.72

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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.