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Finding the Fourth Proportional to 210,886.19, 291,026.59 and 115,394.48

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Solution

The fourth proportional to 210,886.19, 291,026.59 and 115,394.48 is: 159,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,886.19 : 291,026.59 = 115,394.48 : x
  2. Step 2: Convert to fraction form
    210,886.19/291,026.59 = 115,394.48/x
  3. Step 3: Cross multiply
    210,886.19x = 291,026.59 × 115,394.48
  4. Step 4: Simplify right side
    210,886.19x = 33,582,861,442.25
  5. Step 5: Solve for x
    x = 33,582,861,442.25/210,886.19
  6. Step 6: Final answer
    x = 159,246.38

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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.