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Finding the Fourth Proportional to 212,530.50, 293,287.64 and 117,037.98

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Solution

The fourth proportional to 212,530.50, 293,287.64 and 117,037.98 is: 161,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,530.50 : 293,287.64 = 117,037.98 : x
  2. Step 2: Convert to fraction form
    212,530.50/293,287.64 = 117,037.98/x
  3. Step 3: Cross multiply
    212,530.50x = 293,287.64 × 117,037.98
  4. Step 4: Simplify right side
    212,530.50x = 34,325,792,359.38
  5. Step 5: Solve for x
    x = 34,325,792,359.38/212,530.50
  6. Step 6: Final answer
    x = 161,509.96

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Why These Related Problems?

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