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Finding the Fourth Proportional to 207,322.92, 286,102.45 and 115,441.58

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Solution

The fourth proportional to 207,322.92, 286,102.45 and 115,441.58 is: 159,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,322.92 : 286,102.45 = 115,441.58 : x
  2. Step 2: Convert to fraction form
    207,322.92/286,102.45 = 115,441.58/x
  3. Step 3: Cross multiply
    207,322.92x = 286,102.45 × 115,441.58
  4. Step 4: Simplify right side
    207,322.92x = 33,028,118,869.87
  5. Step 5: Solve for x
    x = 33,028,118,869.87/207,322.92
  6. Step 6: Final answer
    x = 159,307.61

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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.