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Finding the Fourth Proportional to 242,709.04, 334,782.12 and 161,035.53

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Solution

The fourth proportional to 242,709.04, 334,782.12 and 161,035.53 is: 222,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,709.04 : 334,782.12 = 161,035.53 : x
  2. Step 2: Convert to fraction form
    242,709.04/334,782.12 = 161,035.53/x
  3. Step 3: Cross multiply
    242,709.04x = 334,782.12 × 161,035.53
  4. Step 4: Simplify right side
    242,709.04x = 53,911,816,128.72
  5. Step 5: Solve for x
    x = 53,911,816,128.72/242,709.04
  6. Step 6: Final answer
    x = 222,125.29

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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.