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Finding the Fourth Proportional to 200,047.50, 300,074.13 and 52,303.50

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Solution

The fourth proportional to 200,047.50, 300,074.13 and 52,303.50 is: 78,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,047.50 : 300,074.13 = 52,303.50 : x
  2. Step 2: Convert to fraction form
    200,047.50/300,074.13 = 52,303.50/x
  3. Step 3: Cross multiply
    200,047.50x = 300,074.13 × 52,303.50
  4. Step 4: Simplify right side
    200,047.50x = 15,694,927,258.46
  5. Step 5: Solve for x
    x = 15,694,927,258.46/200,047.50
  6. Step 6: Final answer
    x = 78,456.00

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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.