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Finding the Fourth Proportional to 242,978.04, 364,492.98 and 102,750.84

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Solution

The fourth proportional to 242,978.04, 364,492.98 and 102,750.84 is: 154,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,978.04 : 364,492.98 = 102,750.84 : x
  2. Step 2: Convert to fraction form
    242,978.04/364,492.98 = 102,750.84/x
  3. Step 3: Cross multiply
    242,978.04x = 364,492.98 × 102,750.84
  4. Step 4: Simplify right side
    242,978.04x = 37,451,959,869.10
  5. Step 5: Solve for x
    x = 37,451,959,869.10/242,978.04
  6. Step 6: Final answer
    x = 154,137.22

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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.