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Finding the Fourth Proportional to 230,827.40, 346,154.70 and 81,009.80

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Solution

The fourth proportional to 230,827.40, 346,154.70 and 81,009.80 is: 121,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,827.40 : 346,154.70 = 81,009.80 : x
  2. Step 2: Convert to fraction form
    230,827.40/346,154.70 = 81,009.80/x
  3. Step 3: Cross multiply
    230,827.40x = 346,154.70 × 81,009.80
  4. Step 4: Simplify right side
    230,827.40x = 28,041,923,016.06
  5. Step 5: Solve for x
    x = 28,041,923,016.06/230,827.40
  6. Step 6: Final answer
    x = 121,484.38

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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.