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Finding the Fourth Proportional to 200,565.60, 300,848.40 and 171,041.10

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Solution

The fourth proportional to 200,565.60, 300,848.40 and 171,041.10 is: 256,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,565.60 : 300,848.40 = 171,041.10 : x
  2. Step 2: Convert to fraction form
    200,565.60/300,848.40 = 171,041.10/x
  3. Step 3: Cross multiply
    200,565.60x = 300,848.40 × 171,041.10
  4. Step 4: Simplify right side
    200,565.60x = 51,457,441,269.24
  5. Step 5: Solve for x
    x = 51,457,441,269.24/200,565.60
  6. Step 6: Final answer
    x = 256,561.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.