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Finding the Fourth Proportional to 252,393.84, 378,335.16 and 163,703.64

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Solution

The fourth proportional to 252,393.84, 378,335.16 and 163,703.64 is: 245,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,393.84 : 378,335.16 = 163,703.64 : x
  2. Step 2: Convert to fraction form
    252,393.84/378,335.16 = 163,703.64/x
  3. Step 3: Cross multiply
    252,393.84x = 378,335.16 × 163,703.64
  4. Step 4: Simplify right side
    252,393.84x = 61,934,842,831.98
  5. Step 5: Solve for x
    x = 61,934,842,831.98/252,393.84
  6. Step 6: Final answer
    x = 245,389.68

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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.