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Finding the Fourth Proportional to 202,962.39, 280,082.39 and 112,322.13

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Solution

The fourth proportional to 202,962.39, 280,082.39 and 112,322.13 is: 155,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962.39 : 280,082.39 = 112,322.13 : x
  2. Step 2: Convert to fraction form
    202,962.39/280,082.39 = 112,322.13/x
  3. Step 3: Cross multiply
    202,962.39x = 280,082.39 × 112,322.13
  4. Step 4: Simplify right side
    202,962.39x = 31,459,450,058.68
  5. Step 5: Solve for x
    x = 31,459,450,058.68/202,962.39
  6. Step 6: Final answer
    x = 155,001.38

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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.