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Finding the Fourth Proportional to 200,565.02, 300,531.08 and 74,031.14

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Solution

The fourth proportional to 200,565.02, 300,531.08 and 74,031.14 is: 110,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,565.02 : 300,531.08 = 74,031.14 : x
  2. Step 2: Convert to fraction form
    200,565.02/300,531.08 = 74,031.14/x
  3. Step 3: Cross multiply
    200,565.02x = 300,531.08 × 74,031.14
  4. Step 4: Simplify right side
    200,565.02x = 22,248,658,457.83
  5. Step 5: Solve for x
    x = 22,248,658,457.83/200,565.02
  6. Step 6: Final answer
    x = 110,929.90

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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.