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Finding the Fourth Proportional to 202,958.35, 280,075.64 and 112,318.14

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Solution

The fourth proportional to 202,958.35, 280,075.64 and 112,318.14 is: 154,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,958.35 : 280,075.64 = 112,318.14 : x
  2. Step 2: Convert to fraction form
    202,958.35/280,075.64 = 112,318.14/x
  3. Step 3: Cross multiply
    202,958.35x = 280,075.64 × 112,318.14
  4. Step 4: Simplify right side
    202,958.35x = 31,457,574,944.11
  5. Step 5: Solve for x
    x = 31,457,574,944.11/202,958.35
  6. Step 6: Final answer
    x = 154,995.22

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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.