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Finding the Fourth Proportional to 152,292.24, 210,170.16 and 85,224.24

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Solution

The fourth proportional to 152,292.24, 210,170.16 and 85,224.24 is: 117,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,292.24 : 210,170.16 = 85,224.24 : x
  2. Step 2: Convert to fraction form
    152,292.24/210,170.16 = 85,224.24/x
  3. Step 3: Cross multiply
    152,292.24x = 210,170.16 × 85,224.24
  4. Step 4: Simplify right side
    152,292.24x = 17,911,592,156.68
  5. Step 5: Solve for x
    x = 17,911,592,156.68/152,292.24
  6. Step 6: Final answer
    x = 117,613.30

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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.