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Finding the Fourth Proportional to 153,409.51, 211,704.89 and 85,432.42

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Solution

The fourth proportional to 153,409.51, 211,704.89 and 85,432.42 is: 117,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.51 : 211,704.89 = 85,432.42 : x
  2. Step 2: Convert to fraction form
    153,409.51/211,704.89 = 85,432.42/x
  3. Step 3: Cross multiply
    153,409.51x = 211,704.89 × 85,432.42
  4. Step 4: Simplify right side
    153,409.51x = 18,086,461,261.40
  5. Step 5: Solve for x
    x = 18,086,461,261.40/153,409.51
  6. Step 6: Final answer
    x = 117,896.61

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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.