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Finding the Fourth Proportional to 228,795.32, 342,988.85 and 116,412.68

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Solution

The fourth proportional to 228,795.32, 342,988.85 and 116,412.68 is: 174,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,795.32 : 342,988.85 = 116,412.68 : x
  2. Step 2: Convert to fraction form
    228,795.32/342,988.85 = 116,412.68/x
  3. Step 3: Cross multiply
    228,795.32x = 342,988.85 × 116,412.68
  4. Step 4: Simplify right side
    228,795.32x = 39,928,251,238.62
  5. Step 5: Solve for x
    x = 39,928,251,238.62/228,795.32
  6. Step 6: Final answer
    x = 174,515.16

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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.