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Finding the Fourth Proportional to 210,092.36, 289,931.38 and 114,602.44

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Solution

The fourth proportional to 210,092.36, 289,931.38 and 114,602.44 is: 158,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,092.36 : 289,931.38 = 114,602.44 : x
  2. Step 2: Convert to fraction form
    210,092.36/289,931.38 = 114,602.44/x
  3. Step 3: Cross multiply
    210,092.36x = 289,931.38 × 114,602.44
  4. Step 4: Simplify right side
    210,092.36x = 33,226,843,580.57
  5. Step 5: Solve for x
    x = 33,226,843,580.57/210,092.36
  6. Step 6: Final answer
    x = 158,153.51

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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.