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Finding the Fourth Proportional to 208,416.48, 287,680.14 and 132,964.92

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Solution

The fourth proportional to 208,416.48, 287,680.14 and 132,964.92 is: 183,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,416.48 : 287,680.14 = 132,964.92 : x
  2. Step 2: Convert to fraction form
    208,416.48/287,680.14 = 132,964.92/x
  3. Step 3: Cross multiply
    208,416.48x = 287,680.14 × 132,964.92
  4. Step 4: Simplify right side
    208,416.48x = 38,251,366,800.69
  5. Step 5: Solve for x
    x = 38,251,366,800.69/208,416.48
  6. Step 6: Final answer
    x = 183,533.31

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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.