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Finding the Fourth Proportional to 242,101.80, 362,715.30 and 207,109.80

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Solution

The fourth proportional to 242,101.80, 362,715.30 and 207,109.80 is: 310,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,101.80 : 362,715.30 = 207,109.80 : x
  2. Step 2: Convert to fraction form
    242,101.80/362,715.30 = 207,109.80/x
  3. Step 3: Cross multiply
    242,101.80x = 362,715.30 × 207,109.80
  4. Step 4: Simplify right side
    242,101.80x = 75,121,893,239.94
  5. Step 5: Solve for x
    x = 75,121,893,239.94/242,101.80
  6. Step 6: Final answer
    x = 310,290.52

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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.