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Finding the Fourth Proportional to 200,065.40, 300,098.10 and 177,320.60

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Solution

The fourth proportional to 200,065.40, 300,098.10 and 177,320.60 is: 265,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,065.40 : 300,098.10 = 177,320.60 : x
  2. Step 2: Convert to fraction form
    200,065.40/300,098.10 = 177,320.60/x
  3. Step 3: Cross multiply
    200,065.40x = 300,098.10 × 177,320.60
  4. Step 4: Simplify right side
    200,065.40x = 53,213,575,150.86
  5. Step 5: Solve for x
    x = 53,213,575,150.86/200,065.40
  6. Step 6: Final answer
    x = 265,980.90

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1.5x scale

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.