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Finding the Fourth Proportional to 210,509.29, 290,499.42 and 115,013.93

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Solution

The fourth proportional to 210,509.29, 290,499.42 and 115,013.93 is: 158,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,509.29 : 290,499.42 = 115,013.93 : x
  2. Step 2: Convert to fraction form
    210,509.29/290,499.42 = 115,013.93/x
  3. Step 3: Cross multiply
    210,509.29x = 290,499.42 × 115,013.93
  4. Step 4: Simplify right side
    210,509.29x = 33,411,479,956.92
  5. Step 5: Solve for x
    x = 33,411,479,956.92/210,509.29
  6. Step 6: Final answer
    x = 158,717.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.