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Finding the Fourth Proportional to 201,303.84, 301,947.12 and 51,548.16

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Solution

The fourth proportional to 201,303.84, 301,947.12 and 51,548.16 is: 77,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,303.84 : 301,947.12 = 51,548.16 : x
  2. Step 2: Convert to fraction form
    201,303.84/301,947.12 = 51,548.16/x
  3. Step 3: Cross multiply
    201,303.84x = 301,947.12 × 51,548.16
  4. Step 4: Simplify right side
    201,303.84x = 15,564,818,453.30
  5. Step 5: Solve for x
    x = 15,564,818,453.30/201,303.84
  6. Step 6: Final answer
    x = 77,320.03

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1.5x scale

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.