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Finding the Fourth Proportional to 210,965.36, 291,134.93 and 115,470

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Solution

The fourth proportional to 210,965.36, 291,134.93 and 115,470 is: 159,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,965.36 : 291,134.93 = 115,470 : x
  2. Step 2: Convert to fraction form
    210,965.36/291,134.93 = 115,470/x
  3. Step 3: Cross multiply
    210,965.36x = 291,134.93 × 115,470
  4. Step 4: Simplify right side
    210,965.36x = 33,617,349,789.75
  5. Step 5: Solve for x
    x = 33,617,349,789.75/210,965.36
  6. Step 6: Final answer
    x = 159,350.10

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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.