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Finding the Fourth Proportional to 152,952.54, 211,077.27 and 85,886.94

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Solution

The fourth proportional to 152,952.54, 211,077.27 and 85,886.94 is: 118,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,952.54 : 211,077.27 = 85,886.94 : x
  2. Step 2: Convert to fraction form
    152,952.54/211,077.27 = 85,886.94/x
  3. Step 3: Cross multiply
    152,952.54x = 211,077.27 × 85,886.94
  4. Step 4: Simplify right side
    152,952.54x = 18,128,780,823.85
  5. Step 5: Solve for x
    x = 18,128,780,823.85/152,952.54
  6. Step 6: Final answer
    x = 118,525.53

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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.