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Finding the Fourth Proportional to 211,058.64, 316,587.33 and 163,097.04

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Solution

The fourth proportional to 211,058.64, 316,587.33 and 163,097.04 is: 244,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,058.64 : 316,587.33 = 163,097.04 : x
  2. Step 2: Convert to fraction form
    211,058.64/316,587.33 = 163,097.04/x
  3. Step 3: Cross multiply
    211,058.64x = 316,587.33 × 163,097.04
  4. Step 4: Simplify right side
    211,058.64x = 51,634,456,424.50
  5. Step 5: Solve for x
    x = 51,634,456,424.50/211,058.64
  6. Step 6: Final answer
    x = 244,645.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.