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Finding the Fourth Proportional to 243,341.34, 364,948.65 and 103,027.74

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Solution

The fourth proportional to 243,341.34, 364,948.65 and 103,027.74 is: 154,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,341.34 : 364,948.65 = 103,027.74 : x
  2. Step 2: Convert to fraction form
    243,341.34/364,948.65 = 103,027.74/x
  3. Step 3: Cross multiply
    243,341.34x = 364,948.65 × 103,027.74
  4. Step 4: Simplify right side
    243,341.34x = 37,599,834,625.55
  5. Step 5: Solve for x
    x = 37,599,834,625.55/243,341.34
  6. Step 6: Final answer
    x = 154,514.78

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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.