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Finding the Fourth Proportional to 103,204.40, 154,810.02 and 36,643.64

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Solution

The fourth proportional to 103,204.40, 154,810.02 and 36,643.64 is: 54,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,204.40 : 154,810.02 = 36,643.64 : x
  2. Step 2: Convert to fraction form
    103,204.40/154,810.02 = 36,643.64/x
  3. Step 3: Cross multiply
    103,204.40x = 154,810.02 × 36,643.64
  4. Step 4: Simplify right side
    103,204.40x = 5,672,802,641.27
  5. Step 5: Solve for x
    x = 5,672,802,641.27/103,204.40
  6. Step 6: Final answer
    x = 54,966.67

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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.