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Finding the Fourth Proportional to 242,841.60, 335,109.12 and 135,423.36

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Solution

The fourth proportional to 242,841.60, 335,109.12 and 135,423.36 is: 186,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,841.60 : 335,109.12 = 135,423.36 : x
  2. Step 2: Convert to fraction form
    242,841.60/335,109.12 = 135,423.36/x
  3. Step 3: Cross multiply
    242,841.60x = 335,109.12 × 135,423.36
  4. Step 4: Simplify right side
    242,841.60x = 45,381,602,997.04
  5. Step 5: Solve for x
    x = 45,381,602,997.04/242,841.60
  6. Step 6: Final answer
    x = 186,877.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.