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Finding the Fourth Proportional to 145,953.82, 218,998.77 and 143,595.10

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Solution

The fourth proportional to 145,953.82, 218,998.77 and 143,595.10 is: 215,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,953.82 : 218,998.77 = 143,595.10 : x
  2. Step 2: Convert to fraction form
    145,953.82/218,998.77 = 143,595.10/x
  3. Step 3: Cross multiply
    145,953.82x = 218,998.77 × 143,595.10
  4. Step 4: Simplify right side
    145,953.82x = 31,447,150,278.03
  5. Step 5: Solve for x
    x = 31,447,150,278.03/145,953.82
  6. Step 6: Final answer
    x = 215,459.59

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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.