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Finding the Fourth Proportional to 114,421.40, 171,632.10 and 77,096.60

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Solution

The fourth proportional to 114,421.40, 171,632.10 and 77,096.60 is: 115,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,421.40 : 171,632.10 = 77,096.60 : x
  2. Step 2: Convert to fraction form
    114,421.40/171,632.10 = 77,096.60/x
  3. Step 3: Cross multiply
    114,421.40x = 171,632.10 × 77,096.60
  4. Step 4: Simplify right side
    114,421.40x = 13,232,251,360.86
  5. Step 5: Solve for x
    x = 13,232,251,360.86/114,421.40
  6. Step 6: Final answer
    x = 115,644.90

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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.