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Finding the Fourth Proportional to 284,591.96, 392,752.02 and 163,751.60

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Solution

The fourth proportional to 284,591.96, 392,752.02 and 163,751.60 is: 225,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,591.96 : 392,752.02 = 163,751.60 : x
  2. Step 2: Convert to fraction form
    284,591.96/392,752.02 = 163,751.60/x
  3. Step 3: Cross multiply
    284,591.96x = 392,752.02 × 163,751.60
  4. Step 4: Simplify right side
    284,591.96x = 64,313,771,678.23
  5. Step 5: Solve for x
    x = 64,313,771,678.23/284,591.96
  6. Step 6: Final answer
    x = 225,985.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.