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Finding the Fourth Proportional to 209,905.70, 314,858.55 and 191,534.90

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Solution

The fourth proportional to 209,905.70, 314,858.55 and 191,534.90 is: 287,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,905.70 : 314,858.55 = 191,534.90 : x
  2. Step 2: Convert to fraction form
    209,905.70/314,858.55 = 191,534.90/x
  3. Step 3: Cross multiply
    209,905.70x = 314,858.55 × 191,534.90
  4. Step 4: Simplify right side
    209,905.70x = 60,306,400,888.40
  5. Step 5: Solve for x
    x = 60,306,400,888.40/209,905.70
  6. Step 6: Final answer
    x = 287,302.35

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1.5x scale

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.