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Finding the Fourth Proportional to 285,171.60, 427,598.10 and 116,809.32

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Solution

The fourth proportional to 285,171.60, 427,598.10 and 116,809.32 is: 175,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,171.60 : 427,598.10 = 116,809.32 : x
  2. Step 2: Convert to fraction form
    285,171.60/427,598.10 = 116,809.32/x
  3. Step 3: Cross multiply
    285,171.60x = 427,598.10 × 116,809.32
  4. Step 4: Simplify right side
    285,171.60x = 49,947,443,294.29
  5. Step 5: Solve for x
    x = 49,947,443,294.29/285,171.60
  6. Step 6: Final answer
    x = 175,148.73

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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.