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Finding the Fourth Proportional to 364,104, 546,248.16 and 101,448

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Solution

The fourth proportional to 364,104, 546,248.16 and 101,448 is: 152,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,104 : 546,248.16 = 101,448 : x
  2. Step 2: Convert to fraction form
    364,104/546,248.16 = 101,448/x
  3. Step 3: Cross multiply
    364,104x = 546,248.16 × 101,448
  4. Step 4: Simplify right side
    364,104x = 55,415,783,335.68
  5. Step 5: Solve for x
    x = 55,415,783,335.68/364,104
  6. Step 6: Final answer
    x = 152,197.68

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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.