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Finding the Fourth Proportional to 212,402.82, 293,123.70 and 116,913.54

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Solution

The fourth proportional to 212,402.82, 293,123.70 and 116,913.54 is: 161,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,402.82 : 293,123.70 = 116,913.54 : x
  2. Step 2: Convert to fraction form
    212,402.82/293,123.70 = 116,913.54/x
  3. Step 3: Cross multiply
    212,402.82x = 293,123.70 × 116,913.54
  4. Step 4: Simplify right side
    212,402.82x = 34,270,129,424.90
  5. Step 5: Solve for x
    x = 34,270,129,424.90/212,402.82
  6. Step 6: Final answer
    x = 161,344.98

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1.5x scale

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.