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Finding the Fourth Proportional to 209,779.76, 289,503.51 and 119,133.20

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Solution

The fourth proportional to 209,779.76, 289,503.51 and 119,133.20 is: 164,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,779.76 : 289,503.51 = 119,133.20 : x
  2. Step 2: Convert to fraction form
    209,779.76/289,503.51 = 119,133.20/x
  3. Step 3: Cross multiply
    209,779.76x = 289,503.51 × 119,133.20
  4. Step 4: Simplify right side
    209,779.76x = 34,489,479,557.53
  5. Step 5: Solve for x
    x = 34,489,479,557.53/209,779.76
  6. Step 6: Final answer
    x = 164,408.04

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1.5x scale

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.