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Finding the Fourth Proportional to 242,894.60, 364,277.10 and 85,106.60

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Solution

The fourth proportional to 242,894.60, 364,277.10 and 85,106.60 is: 127,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,894.60 : 364,277.10 = 85,106.60 : x
  2. Step 2: Convert to fraction form
    242,894.60/364,277.10 = 85,106.60/x
  3. Step 3: Cross multiply
    242,894.60x = 364,277.10 × 85,106.60
  4. Step 4: Simplify right side
    242,894.60x = 31,002,385,438.86
  5. Step 5: Solve for x
    x = 31,002,385,438.86/242,894.60
  6. Step 6: Final answer
    x = 127,637.20

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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.