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Finding the Fourth Proportional to 209,650.84, 289,303.48 and 119,008.64

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Solution

The fourth proportional to 209,650.84, 289,303.48 and 119,008.64 is: 164,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,650.84 : 289,303.48 = 119,008.64 : x
  2. Step 2: Convert to fraction form
    209,650.84/289,303.48 = 119,008.64/x
  3. Step 3: Cross multiply
    209,650.84x = 289,303.48 × 119,008.64
  4. Step 4: Simplify right side
    209,650.84x = 34,429,613,702.07
  5. Step 5: Solve for x
    x = 34,429,613,702.07/209,650.84
  6. Step 6: Final answer
    x = 164,223.59

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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.