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Finding the Fourth Proportional to 279,507, 385,726.50 and 152,189.52

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Solution

The fourth proportional to 279,507, 385,726.50 and 152,189.52 is: 210,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,507 : 385,726.50 = 152,189.52 : x
  2. Step 2: Convert to fraction form
    279,507/385,726.50 = 152,189.52/x
  3. Step 3: Cross multiply
    279,507x = 385,726.50 × 152,189.52
  4. Step 4: Simplify right side
    279,507x = 58,703,530,886.28
  5. Step 5: Solve for x
    x = 58,703,530,886.28/279,507
  6. Step 6: Final answer
    x = 210,025.26

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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.