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Finding the Fourth Proportional to 212,855.76, 293,754.06 and 117,362.16

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Solution

The fourth proportional to 212,855.76, 293,754.06 and 117,362.16 is: 161,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,855.76 : 293,754.06 = 117,362.16 : x
  2. Step 2: Convert to fraction form
    212,855.76/293,754.06 = 117,362.16/x
  3. Step 3: Cross multiply
    212,855.76x = 293,754.06 × 117,362.16
  4. Step 4: Simplify right side
    212,855.76x = 34,475,610,990.37
  5. Step 5: Solve for x
    x = 34,475,610,990.37/212,855.76
  6. Step 6: Final answer
    x = 161,967.01

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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.