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Finding the Fourth Proportional to 242,824.44, 364,149.16 and 102,594

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Solution

The fourth proportional to 242,824.44, 364,149.16 and 102,594 is: 153,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,824.44 : 364,149.16 = 102,594 : x
  2. Step 2: Convert to fraction form
    242,824.44/364,149.16 = 102,594/x
  3. Step 3: Cross multiply
    242,824.44x = 364,149.16 × 102,594
  4. Step 4: Simplify right side
    242,824.44x = 37,359,518,921.04
  5. Step 5: Solve for x
    x = 37,359,518,921.04/242,824.44
  6. Step 6: Final answer
    x = 153,854.03

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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.