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Finding the Fourth Proportional to 243,532.99, 364,900.14 and 172,106.78

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Solution

The fourth proportional to 243,532.99, 364,900.14 and 172,106.78 is: 257,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,532.99 : 364,900.14 = 172,106.78 : x
  2. Step 2: Convert to fraction form
    243,532.99/364,900.14 = 172,106.78/x
  3. Step 3: Cross multiply
    243,532.99x = 364,900.14 × 172,106.78
  4. Step 4: Simplify right side
    243,532.99x = 62,801,786,292.45
  5. Step 5: Solve for x
    x = 62,801,786,292.45/243,532.99
  6. Step 6: Final answer
    x = 257,877.94

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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.