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Finding the Fourth Proportional to 153,193.55, 211,404.03 and 85,209.06

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Solution

The fourth proportional to 153,193.55, 211,404.03 and 85,209.06 is: 117,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,193.55 : 211,404.03 = 85,209.06 : x
  2. Step 2: Convert to fraction form
    153,193.55/211,404.03 = 85,209.06/x
  3. Step 3: Cross multiply
    153,193.55x = 211,404.03 × 85,209.06
  4. Step 4: Simplify right side
    153,193.55x = 18,013,538,676.51
  5. Step 5: Solve for x
    x = 18,013,538,676.51/153,193.55
  6. Step 6: Final answer
    x = 117,586.80

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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.