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Finding the Fourth Proportional to 228,792.32, 342,827.29 and 185,888.51

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Solution

The fourth proportional to 228,792.32, 342,827.29 and 185,888.51 is: 278,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,792.32 : 342,827.29 = 185,888.51 : x
  2. Step 2: Convert to fraction form
    228,792.32/342,827.29 = 185,888.51/x
  3. Step 3: Cross multiply
    228,792.32x = 342,827.29 × 185,888.51
  4. Step 4: Simplify right side
    228,792.32x = 63,727,652,401.54
  5. Step 5: Solve for x
    x = 63,727,652,401.54/228,792.32
  6. Step 6: Final answer
    x = 278,539.30

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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.