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Finding the Fourth Proportional to 242,298, 334,332.96 and 140,333.07

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Solution

The fourth proportional to 242,298, 334,332.96 and 140,333.07 is: 193,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,298 : 334,332.96 = 140,333.07 : x
  2. Step 2: Convert to fraction form
    242,298/334,332.96 = 140,333.07/x
  3. Step 3: Cross multiply
    242,298x = 334,332.96 × 140,333.07
  4. Step 4: Simplify right side
    242,298x = 46,917,970,678.99
  5. Step 5: Solve for x
    x = 46,917,970,678.99/242,298
  6. Step 6: Final answer
    x = 193,637.47

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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.