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Finding the Fourth Proportional to 152,970, 211,098.60 and 85,902

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Solution

The fourth proportional to 152,970, 211,098.60 and 85,902 is: 118,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,970 : 211,098.60 = 85,902 : x
  2. Step 2: Convert to fraction form
    152,970/211,098.60 = 85,902/x
  3. Step 3: Cross multiply
    152,970x = 211,098.60 × 85,902
  4. Step 4: Simplify right side
    152,970x = 18,133,791,937.20
  5. Step 5: Solve for x
    x = 18,133,791,937.20/152,970
  6. Step 6: Final answer
    x = 118,544.76

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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.