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Finding the Fourth Proportional to 284,076.54, 392,025.18 and 156,752.04

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Solution

The fourth proportional to 284,076.54, 392,025.18 and 156,752.04 is: 216,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,076.54 : 392,025.18 = 156,752.04 : x
  2. Step 2: Convert to fraction form
    284,076.54/392,025.18 = 156,752.04/x
  3. Step 3: Cross multiply
    284,076.54x = 392,025.18 × 156,752.04
  4. Step 4: Simplify right side
    284,076.54x = 61,450,746,696.37
  5. Step 5: Solve for x
    x = 61,450,746,696.37/284,076.54
  6. Step 6: Final answer
    x = 216,317.57

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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.