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Finding the Fourth Proportional to 209,506.32, 289,124.01 and 114,018.30

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Solution

The fourth proportional to 209,506.32, 289,124.01 and 114,018.30 is: 157,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506.32 : 289,124.01 = 114,018.30 : x
  2. Step 2: Convert to fraction form
    209,506.32/289,124.01 = 114,018.30/x
  3. Step 3: Cross multiply
    209,506.32x = 289,124.01 × 114,018.30
  4. Step 4: Simplify right side
    209,506.32x = 32,965,428,109.38
  5. Step 5: Solve for x
    x = 32,965,428,109.38/209,506.32
  6. Step 6: Final answer
    x = 157,348.13

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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.