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Finding the Fourth Proportional to 351,854.96, 527,782.50 and 141,443.69

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Solution

The fourth proportional to 351,854.96, 527,782.50 and 141,443.69 is: 212,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,854.96 : 527,782.50 = 141,443.69 : x
  2. Step 2: Convert to fraction form
    351,854.96/527,782.50 = 141,443.69/x
  3. Step 3: Cross multiply
    351,854.96x = 527,782.50 × 141,443.69
  4. Step 4: Simplify right side
    351,854.96x = 74,651,501,678.51
  5. Step 5: Solve for x
    x = 74,651,501,678.51/351,854.96
  6. Step 6: Final answer
    x = 212,165.55

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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.