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Finding the Fourth Proportional to 333,771.84, 500,505.75 and 144,141.93

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Solution

The fourth proportional to 333,771.84, 500,505.75 and 144,141.93 is: 216,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,771.84 : 500,505.75 = 144,141.93 : x
  2. Step 2: Convert to fraction form
    333,771.84/500,505.75 = 144,141.93/x
  3. Step 3: Cross multiply
    333,771.84x = 500,505.75 × 144,141.93
  4. Step 4: Simplify right side
    333,771.84x = 72,143,864,781.10
  5. Step 5: Solve for x
    x = 72,143,864,781.10/333,771.84
  6. Step 6: Final answer
    x = 216,147.25

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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.