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Finding the Fourth Proportional to 152,323.28, 210,206.10 and 85,255.28

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Solution

The fourth proportional to 152,323.28, 210,206.10 and 85,255.28 is: 117,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,323.28 : 210,206.10 = 85,255.28 : x
  2. Step 2: Convert to fraction form
    152,323.28/210,206.10 = 85,255.28/x
  3. Step 3: Cross multiply
    152,323.28x = 210,206.10 × 85,255.28
  4. Step 4: Simplify right side
    152,323.28x = 17,921,179,913.21
  5. Step 5: Solve for x
    x = 17,921,179,913.21/152,323.28
  6. Step 6: Final answer
    x = 117,652.27

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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.