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Finding the Fourth Proportional to 212,703.69, 293,533.05 and 117,213.80

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Solution

The fourth proportional to 212,703.69, 293,533.05 and 117,213.80 is: 161,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,703.69 : 293,533.05 = 117,213.80 : x
  2. Step 2: Convert to fraction form
    212,703.69/293,533.05 = 117,213.80/x
  3. Step 3: Cross multiply
    212,703.69x = 293,533.05 × 117,213.80
  4. Step 4: Simplify right side
    212,703.69x = 34,406,124,216.09
  5. Step 5: Solve for x
    x = 34,406,124,216.09/212,703.69
  6. Step 6: Final answer
    x = 161,756.12

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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.