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Finding the Fourth Proportional to 152,324.28, 210,207.48 and 85,256.28

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Solution

The fourth proportional to 152,324.28, 210,207.48 and 85,256.28 is: 117,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,324.28 : 210,207.48 = 85,256.28 : x
  2. Step 2: Convert to fraction form
    152,324.28/210,207.48 = 85,256.28/x
  3. Step 3: Cross multiply
    152,324.28x = 210,207.48 × 85,256.28
  4. Step 4: Simplify right side
    152,324.28x = 17,921,507,772.97
  5. Step 5: Solve for x
    x = 17,921,507,772.97/152,324.28
  6. Step 6: Final answer
    x = 117,653.65

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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.