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Finding the Fourth Proportional to 243,383.74, 364,933.35 and 163,514.50

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Solution

The fourth proportional to 243,383.74, 364,933.35 and 163,514.50 is: 245,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,383.74 : 364,933.35 = 163,514.50 : x
  2. Step 2: Convert to fraction form
    243,383.74/364,933.35 = 163,514.50/x
  3. Step 3: Cross multiply
    243,383.74x = 364,933.35 × 163,514.50
  4. Step 4: Simplify right side
    243,383.74x = 59,671,893,346.24
  5. Step 5: Solve for x
    x = 59,671,893,346.24/243,383.74
  6. Step 6: Final answer
    x = 245,176.17

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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.