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Finding the Fourth Proportional to 208,774.89, 314,726.80 and 194,871.20

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Solution

The fourth proportional to 208,774.89, 314,726.80 and 194,871.20 is: 293,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,774.89 : 314,726.80 = 194,871.20 : x
  2. Step 2: Convert to fraction form
    208,774.89/314,726.80 = 194,871.20/x
  3. Step 3: Cross multiply
    208,774.89x = 314,726.80 × 194,871.20
  4. Step 4: Simplify right side
    208,774.89x = 61,331,191,412.94
  5. Step 5: Solve for x
    x = 61,331,191,412.94/208,774.89
  6. Step 6: Final answer
    x = 293,767.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.