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Finding the Fourth Proportional to 206,851.60, 310,056.67 and 117,913.60

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Solution

The fourth proportional to 206,851.60, 310,056.67 and 117,913.60 is: 176,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,851.60 : 310,056.67 = 117,913.60 : x
  2. Step 2: Convert to fraction form
    206,851.60/310,056.67 = 117,913.60/x
  3. Step 3: Cross multiply
    206,851.60x = 310,056.67 × 117,913.60
  4. Step 4: Simplify right side
    206,851.60x = 36,559,898,163.71
  5. Step 5: Solve for x
    x = 36,559,898,163.71/206,851.60
  6. Step 6: Final answer
    x = 176,744.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.