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Finding the Fourth Proportional to 172,658.50, 259,024.80 and 97,814.50

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Solution

The fourth proportional to 172,658.50, 259,024.80 and 97,814.50 is: 146,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,658.50 : 259,024.80 = 97,814.50 : x
  2. Step 2: Convert to fraction form
    172,658.50/259,024.80 = 97,814.50/x
  3. Step 3: Cross multiply
    172,658.50x = 259,024.80 × 97,814.50
  4. Step 4: Simplify right side
    172,658.50x = 25,336,381,299.60
  5. Step 5: Solve for x
    x = 25,336,381,299.60/172,658.50
  6. Step 6: Final answer
    x = 146,742.74

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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.