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Finding the Fourth Proportional to 280,820.07, 387,477.90 and 159,958.71

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Solution

The fourth proportional to 280,820.07, 387,477.90 and 159,958.71 is: 220,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,820.07 : 387,477.90 = 159,958.71 : x
  2. Step 2: Convert to fraction form
    280,820.07/387,477.90 = 159,958.71/x
  3. Step 3: Cross multiply
    280,820.07x = 387,477.90 × 159,958.71
  4. Step 4: Simplify right side
    280,820.07x = 61,980,465,037.51
  5. Step 5: Solve for x
    x = 61,980,465,037.51/280,820.07
  6. Step 6: Final answer
    x = 220,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.