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Finding the Fourth Proportional to 286,097.87, 429,161.39 and 96,565.16

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Solution

The fourth proportional to 286,097.87, 429,161.39 and 96,565.16 is: 144,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,097.87 : 429,161.39 = 96,565.16 : x
  2. Step 2: Convert to fraction form
    286,097.87/429,161.39 = 96,565.16/x
  3. Step 3: Cross multiply
    286,097.87x = 429,161.39 × 96,565.16
  4. Step 4: Simplify right side
    286,097.87x = 41,442,039,243.37
  5. Step 5: Solve for x
    x = 41,442,039,243.37/286,097.87
  6. Step 6: Final answer
    x = 144,852.66

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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.