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Finding the Fourth Proportional to 293,423.42, 440,135.13 and 83,063.18

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Solution

The fourth proportional to 293,423.42, 440,135.13 and 83,063.18 is: 124,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,423.42 : 440,135.13 = 83,063.18 : x
  2. Step 2: Convert to fraction form
    293,423.42/440,135.13 = 83,063.18/x
  3. Step 3: Cross multiply
    293,423.42x = 440,135.13 × 83,063.18
  4. Step 4: Simplify right side
    293,423.42x = 36,559,023,527.51
  5. Step 5: Solve for x
    x = 36,559,023,527.51/293,423.42
  6. Step 6: Final answer
    x = 124,594.77

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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.