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Finding the Fourth Proportional to 153,420.67, 211,719.85 and 85,438.45

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Solution

The fourth proportional to 153,420.67, 211,719.85 and 85,438.45 is: 117,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,420.67 : 211,719.85 = 85,438.45 : x
  2. Step 2: Convert to fraction form
    153,420.67/211,719.85 = 85,438.45/x
  3. Step 3: Cross multiply
    153,420.67x = 211,719.85 × 85,438.45
  4. Step 4: Simplify right side
    153,420.67x = 18,089,015,818.23
  5. Step 5: Solve for x
    x = 18,089,015,818.23/153,420.67
  6. Step 6: Final answer
    x = 117,904.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.