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Finding the Fourth Proportional to 212,703.84, 293,533.27 and 117,213.95

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Solution

The fourth proportional to 212,703.84, 293,533.27 and 117,213.95 is: 161,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,703.84 : 293,533.27 = 117,213.95 : x
  2. Step 2: Convert to fraction form
    212,703.84/293,533.27 = 117,213.95/x
  3. Step 3: Cross multiply
    212,703.84x = 293,533.27 × 117,213.95
  4. Step 4: Simplify right side
    212,703.84x = 34,406,194,473.91
  5. Step 5: Solve for x
    x = 34,406,194,473.91/212,703.84
  6. Step 6: Final answer
    x = 161,756.34

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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.