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Finding the Fourth Proportional to 242,864.60, 364,029.60 and 85,011.80

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Solution

The fourth proportional to 242,864.60, 364,029.60 and 85,011.80 is: 127,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,864.60 : 364,029.60 = 85,011.80 : x
  2. Step 2: Convert to fraction form
    242,864.60/364,029.60 = 85,011.80/x
  3. Step 3: Cross multiply
    242,864.60x = 364,029.60 × 85,011.80
  4. Step 4: Simplify right side
    242,864.60x = 30,946,811,549.28
  5. Step 5: Solve for x
    x = 30,946,811,549.28/242,864.60
  6. Step 6: Final answer
    x = 127,424.13

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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.