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Finding the Fourth Proportional to 293,855.70, 440,781.66 and 141,875.40

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Solution

The fourth proportional to 293,855.70, 440,781.66 and 141,875.40 is: 212,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,855.70 : 440,781.66 = 141,875.40 : x
  2. Step 2: Convert to fraction form
    293,855.70/440,781.66 = 141,875.40/x
  3. Step 3: Cross multiply
    293,855.70x = 440,781.66 × 141,875.40
  4. Step 4: Simplify right side
    293,855.70x = 62,536,074,325.16
  5. Step 5: Solve for x
    x = 62,536,074,325.16/293,855.70
  6. Step 6: Final answer
    x = 212,812.19

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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.