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Finding the Fourth Proportional to 201,498.16, 302,050.08 and 75,045.64

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Solution

The fourth proportional to 201,498.16, 302,050.08 and 75,045.64 is: 112,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,498.16 : 302,050.08 = 75,045.64 : x
  2. Step 2: Convert to fraction form
    201,498.16/302,050.08 = 75,045.64/x
  3. Step 3: Cross multiply
    201,498.16x = 302,050.08 × 75,045.64
  4. Step 4: Simplify right side
    201,498.16x = 22,667,541,565.65
  5. Step 5: Solve for x
    x = 22,667,541,565.65/201,498.16
  6. Step 6: Final answer
    x = 112,495.03

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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.