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Finding the Fourth Proportional to 242,445.84, 363,723.80 and 73,981.20

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Solution

The fourth proportional to 242,445.84, 363,723.80 and 73,981.20 is: 110,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,445.84 : 363,723.80 = 73,981.20 : x
  2. Step 2: Convert to fraction form
    242,445.84/363,723.80 = 73,981.20/x
  3. Step 3: Cross multiply
    242,445.84x = 363,723.80 × 73,981.20
  4. Step 4: Simplify right side
    242,445.84x = 26,908,723,192.56
  5. Step 5: Solve for x
    x = 26,908,723,192.56/242,445.84
  6. Step 6: Final answer
    x = 110,988.60

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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.