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Finding the Fourth Proportional to 309,902.04, 465,102.19 and 160,186.24

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Solution

The fourth proportional to 309,902.04, 465,102.19 and 160,186.24 is: 240,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,902.04 : 465,102.19 = 160,186.24 : x
  2. Step 2: Convert to fraction form
    309,902.04/465,102.19 = 160,186.24/x
  3. Step 3: Cross multiply
    309,902.04x = 465,102.19 × 160,186.24
  4. Step 4: Simplify right side
    309,902.04x = 74,502,971,031.87
  5. Step 5: Solve for x
    x = 74,502,971,031.87/309,902.04
  6. Step 6: Final answer
    x = 240,408.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.