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Finding the Fourth Proportional to 212,099.63, 292,694.87 and 116,605.49

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Solution

The fourth proportional to 212,099.63, 292,694.87 and 116,605.49 is: 160,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,099.63 : 292,694.87 = 116,605.49 : x
  2. Step 2: Convert to fraction form
    212,099.63/292,694.87 = 116,605.49/x
  3. Step 3: Cross multiply
    212,099.63x = 292,694.87 × 116,605.49
  4. Step 4: Simplify right side
    212,099.63x = 34,129,828,153.81
  5. Step 5: Solve for x
    x = 34,129,828,153.81/212,099.63
  6. Step 6: Final answer
    x = 160,914.13

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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.