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Finding the Fourth Proportional to 242,688.34, 364,196.40 and 84,918.16

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Solution

The fourth proportional to 242,688.34, 364,196.40 and 84,918.16 is: 127,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,688.34 : 364,196.40 = 84,918.16 : x
  2. Step 2: Convert to fraction form
    242,688.34/364,196.40 = 84,918.16/x
  3. Step 3: Cross multiply
    242,688.34x = 364,196.40 × 84,918.16
  4. Step 4: Simplify right side
    242,688.34x = 30,926,888,166.62
  5. Step 5: Solve for x
    x = 30,926,888,166.62/242,688.34
  6. Step 6: Final answer
    x = 127,434.59

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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.