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Finding the Fourth Proportional to 218,864.70, 328,054.05 and 85,700.70

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Solution

The fourth proportional to 218,864.70, 328,054.05 and 85,700.70 is: 128,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,864.70 : 328,054.05 = 85,700.70 : x
  2. Step 2: Convert to fraction form
    218,864.70/328,054.05 = 85,700.70/x
  3. Step 3: Cross multiply
    218,864.70x = 328,054.05 × 85,700.70
  4. Step 4: Simplify right side
    218,864.70x = 28,114,461,722.84
  5. Step 5: Solve for x
    x = 28,114,461,722.84/218,864.70
  6. Step 6: Final answer
    x = 128,455.90

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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.