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Finding the Fourth Proportional to 242,595.90, 364,023.45 and 109,496.70

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Solution

The fourth proportional to 242,595.90, 364,023.45 and 109,496.70 is: 164,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,595.90 : 364,023.45 = 109,496.70 : x
  2. Step 2: Convert to fraction form
    242,595.90/364,023.45 = 109,496.70/x
  3. Step 3: Cross multiply
    242,595.90x = 364,023.45 × 109,496.70
  4. Step 4: Simplify right side
    242,595.90x = 39,859,366,497.62
  5. Step 5: Solve for x
    x = 39,859,366,497.62/242,595.90
  6. Step 6: Final answer
    x = 164,303.55

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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.