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Finding the Fourth Proportional to 252,499.84, 348,302.80 and 161,823.52

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Solution

The fourth proportional to 252,499.84, 348,302.80 and 161,823.52 is: 223,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,499.84 : 348,302.80 = 161,823.52 : x
  2. Step 2: Convert to fraction form
    252,499.84/348,302.80 = 161,823.52/x
  3. Step 3: Cross multiply
    252,499.84x = 348,302.80 × 161,823.52
  4. Step 4: Simplify right side
    252,499.84x = 56,363,585,121.86
  5. Step 5: Solve for x
    x = 56,363,585,121.86/252,499.84
  6. Step 6: Final answer
    x = 223,222.26

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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.