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Finding the Fourth Proportional to 228,794.32, 342,987.35 and 116,411.68

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Solution

The fourth proportional to 228,794.32, 342,987.35 and 116,411.68 is: 174,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,794.32 : 342,987.35 = 116,411.68 : x
  2. Step 2: Convert to fraction form
    228,794.32/342,987.35 = 116,411.68/x
  3. Step 3: Cross multiply
    228,794.32x = 342,987.35 × 116,411.68
  4. Step 4: Simplify right side
    228,794.32x = 39,927,732,208.34
  5. Step 5: Solve for x
    x = 39,927,732,208.34/228,794.32
  6. Step 6: Final answer
    x = 174,513.66

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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.