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Finding the Fourth Proportional to 210,186.01, 290,065.41 and 119,557.93

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Solution

The fourth proportional to 210,186.01, 290,065.41 and 119,557.93 is: 164,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,186.01 : 290,065.41 = 119,557.93 : x
  2. Step 2: Convert to fraction form
    210,186.01/290,065.41 = 119,557.93/x
  3. Step 3: Cross multiply
    210,186.01x = 290,065.41 × 119,557.93
  4. Step 4: Simplify right side
    210,186.01x = 34,679,619,984.20
  5. Step 5: Solve for x
    x = 34,679,619,984.20/210,186.01
  6. Step 6: Final answer
    x = 164,994.90

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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.