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Finding the Fourth Proportional to 209,662.07, 289,345.82 and 157,886.47

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Solution

The fourth proportional to 209,662.07, 289,345.82 and 157,886.47 is: 217,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,662.07 : 289,345.82 = 157,886.47 : x
  2. Step 2: Convert to fraction form
    209,662.07/289,345.82 = 157,886.47/x
  3. Step 3: Cross multiply
    209,662.07x = 289,345.82 × 157,886.47
  4. Step 4: Simplify right side
    209,662.07x = 45,683,790,885.45
  5. Step 5: Solve for x
    x = 45,683,790,885.45/209,662.07
  6. Step 6: Final answer
    x = 217,892.50

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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.