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Finding the Fourth Proportional to 152,100.24, 209,905.20 and 85,032.24

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Solution

The fourth proportional to 152,100.24, 209,905.20 and 85,032.24 is: 117,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,100.24 : 209,905.20 = 85,032.24 : x
  2. Step 2: Convert to fraction form
    152,100.24/209,905.20 = 85,032.24/x
  3. Step 3: Cross multiply
    152,100.24x = 209,905.20 × 85,032.24
  4. Step 4: Simplify right side
    152,100.24x = 17,848,709,343.65
  5. Step 5: Solve for x
    x = 17,848,709,343.65/152,100.24
  6. Step 6: Final answer
    x = 117,348.33

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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.