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Finding the Fourth Proportional to 201,434.16, 277,965.57 and 115,393.53

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Solution

The fourth proportional to 201,434.16, 277,965.57 and 115,393.53 is: 159,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,434.16 : 277,965.57 = 115,393.53 : x
  2. Step 2: Convert to fraction form
    201,434.16/277,965.57 = 115,393.53/x
  3. Step 3: Cross multiply
    201,434.16x = 277,965.57 × 115,393.53
  4. Step 4: Simplify right side
    201,434.16x = 32,075,428,340.76
  5. Step 5: Solve for x
    x = 32,075,428,340.76/201,434.16
  6. Step 6: Final answer
    x = 159,235.30

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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.