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Finding the Fourth Proportional to 212,976.84, 293,908.86 and 117,482.16

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Solution

The fourth proportional to 212,976.84, 293,908.86 and 117,482.16 is: 162,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,976.84 : 293,908.86 = 117,482.16 : x
  2. Step 2: Convert to fraction form
    212,976.84/293,908.86 = 117,482.16/x
  3. Step 3: Cross multiply
    212,976.84x = 293,908.86 × 117,482.16
  4. Step 4: Simplify right side
    212,976.84x = 34,529,047,715.94
  5. Step 5: Solve for x
    x = 34,529,047,715.94/212,976.84
  6. Step 6: Final answer
    x = 162,125.83

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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.