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Finding the Fourth Proportional to 210,058.72, 289,877.50 and 114,559.72

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Solution

The fourth proportional to 210,058.72, 289,877.50 and 114,559.72 is: 158,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,058.72 : 289,877.50 = 114,559.72 : x
  2. Step 2: Convert to fraction form
    210,058.72/289,877.50 = 114,559.72/x
  3. Step 3: Cross multiply
    210,058.72x = 289,877.50 × 114,559.72
  4. Step 4: Simplify right side
    210,058.72x = 33,208,285,234.30
  5. Step 5: Solve for x
    x = 33,208,285,234.30/210,058.72
  6. Step 6: Final answer
    x = 158,090.49

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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.