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Finding the Fourth Proportional to 537,081.40, 805,110.10 and 200,031.80

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Solution

The fourth proportional to 537,081.40, 805,110.10 and 200,031.80 is: 299,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,081.40 : 805,110.10 = 200,031.80 : x
  2. Step 2: Convert to fraction form
    537,081.40/805,110.10 = 200,031.80/x
  3. Step 3: Cross multiply
    537,081.40x = 805,110.10 × 200,031.80
  4. Step 4: Simplify right side
    537,081.40x = 161,047,622,501.18
  5. Step 5: Solve for x
    x = 161,047,622,501.18/537,081.40
  6. Step 6: Final answer
    x = 299,857.01

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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.