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Finding the Fourth Proportional to 200,030.20, 300,045.30 and 178,257.40

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Solution

The fourth proportional to 200,030.20, 300,045.30 and 178,257.40 is: 267,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,030.20 : 300,045.30 = 178,257.40 : x
  2. Step 2: Convert to fraction form
    200,030.20/300,045.30 = 178,257.40/x
  3. Step 3: Cross multiply
    200,030.20x = 300,045.30 × 178,257.40
  4. Step 4: Simplify right side
    200,030.20x = 53,485,295,060.22
  5. Step 5: Solve for x
    x = 53,485,295,060.22/200,030.20
  6. Step 6: Final answer
    x = 267,386.10

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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.