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Finding the Fourth Proportional to 242,707.64, 334,938.09 and 135,284.48

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Solution

The fourth proportional to 242,707.64, 334,938.09 and 135,284.48 is: 186,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,707.64 : 334,938.09 = 135,284.48 : x
  2. Step 2: Convert to fraction form
    242,707.64/334,938.09 = 135,284.48/x
  3. Step 3: Cross multiply
    242,707.64x = 334,938.09 × 135,284.48
  4. Step 4: Simplify right side
    242,707.64x = 45,311,924,665.51
  5. Step 5: Solve for x
    x = 45,311,924,665.51/242,707.64
  6. Step 6: Final answer
    x = 186,693.44

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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.