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Finding the Fourth Proportional to 210,141.30, 289,995.48 and 119,495.01

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Solution

The fourth proportional to 210,141.30, 289,995.48 and 119,495.01 is: 164,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,141.30 : 289,995.48 = 119,495.01 : x
  2. Step 2: Convert to fraction form
    210,141.30/289,995.48 = 119,495.01/x
  3. Step 3: Cross multiply
    210,141.30x = 289,995.48 × 119,495.01
  4. Step 4: Simplify right side
    210,141.30x = 34,653,012,782.55
  5. Step 5: Solve for x
    x = 34,653,012,782.55/210,141.30
  6. Step 6: Final answer
    x = 164,903.39

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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.