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Finding the Fourth Proportional to 210,055.16, 289,864.56 and 119,398.52

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Solution

The fourth proportional to 210,055.16, 289,864.56 and 119,398.52 is: 164,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,055.16 : 289,864.56 = 119,398.52 : x
  2. Step 2: Convert to fraction form
    210,055.16/289,864.56 = 119,398.52/x
  3. Step 3: Cross multiply
    210,055.16x = 289,864.56 × 119,398.52
  4. Step 4: Simplify right side
    210,055.16x = 34,609,399,464.45
  5. Step 5: Solve for x
    x = 34,609,399,464.45/210,055.16
  6. Step 6: Final answer
    x = 164,763.39

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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.