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Finding the Fourth Proportional to 210,932.51, 291,085.14 and 115,438.97

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Solution

The fourth proportional to 210,932.51, 291,085.14 and 115,438.97 is: 159,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,932.51 : 291,085.14 = 115,438.97 : x
  2. Step 2: Convert to fraction form
    210,932.51/291,085.14 = 115,438.97/x
  3. Step 3: Cross multiply
    210,932.51x = 291,085.14 × 115,438.97
  4. Step 4: Simplify right side
    210,932.51x = 33,602,569,904.51
  5. Step 5: Solve for x
    x = 33,602,569,904.51/210,932.51
  6. Step 6: Final answer
    x = 159,304.84

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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.