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Finding the Fourth Proportional to 201,501.98, 278,072.73 and 110,856.00

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Solution

The fourth proportional to 201,501.98, 278,072.73 and 110,856.00 is: 152,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,501.98 : 278,072.73 = 110,856.00 : x
  2. Step 2: Convert to fraction form
    201,501.98/278,072.73 = 110,856.00/x
  3. Step 3: Cross multiply
    201,501.98x = 278,072.73 × 110,856.00
  4. Step 4: Simplify right side
    201,501.98x = 30,826,031,599.65
  5. Step 5: Solve for x
    x = 30,826,031,599.65/201,501.98
  6. Step 6: Final answer
    x = 152,981.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.