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Finding the Fourth Proportional to 210,572.67, 290,097.68 and 146,796.51

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Solution

The fourth proportional to 210,572.67, 290,097.68 and 146,796.51 is: 202,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,572.67 : 290,097.68 = 146,796.51 : x
  2. Step 2: Convert to fraction form
    210,572.67/290,097.68 = 146,796.51/x
  3. Step 3: Cross multiply
    210,572.67x = 290,097.68 × 146,796.51
  4. Step 4: Simplify right side
    210,572.67x = 42,585,326,249.11
  5. Step 5: Solve for x
    x = 42,585,326,249.11/210,572.67
  6. Step 6: Final answer
    x = 202,235.77

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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.