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Finding the Fourth Proportional to 209,493.95, 289,106.82 and 114,005.88

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Solution

The fourth proportional to 209,493.95, 289,106.82 and 114,005.88 is: 157,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,493.95 : 289,106.82 = 114,005.88 : x
  2. Step 2: Convert to fraction form
    209,493.95/289,106.82 = 114,005.88/x
  3. Step 3: Cross multiply
    209,493.95x = 289,106.82 × 114,005.88
  4. Step 4: Simplify right side
    209,493.95x = 32,959,877,428.10
  5. Step 5: Solve for x
    x = 32,959,877,428.10/209,493.95
  6. Step 6: Final answer
    x = 157,330.93

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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.