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Finding the Fourth Proportional to 209,985.70, 314,978.55 and 191,614.90

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Solution

The fourth proportional to 209,985.70, 314,978.55 and 191,614.90 is: 287,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,985.70 : 314,978.55 = 191,614.90 : x
  2. Step 2: Convert to fraction form
    209,985.70/314,978.55 = 191,614.90/x
  3. Step 3: Cross multiply
    209,985.70x = 314,978.55 × 191,614.90
  4. Step 4: Simplify right side
    209,985.70x = 60,354,583,360.40
  5. Step 5: Solve for x
    x = 60,354,583,360.40/209,985.70
  6. Step 6: Final answer
    x = 287,422.35

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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.