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Finding the Fourth Proportional to 210,361.55, 290,298.92 and 114,868.34

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Solution

The fourth proportional to 210,361.55, 290,298.92 and 114,868.34 is: 158,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,361.55 : 290,298.92 = 114,868.34 : x
  2. Step 2: Convert to fraction form
    210,361.55/290,298.92 = 114,868.34/x
  3. Step 3: Cross multiply
    210,361.55x = 290,298.92 × 114,868.34
  4. Step 4: Simplify right side
    210,361.55x = 33,346,153,018.36
  5. Step 5: Solve for x
    x = 33,346,153,018.36/210,361.55
  6. Step 6: Final answer
    x = 158,518.29

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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.