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Finding the Fourth Proportional to 201,645.60, 278,254.44 and 116,768.16

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Solution

The fourth proportional to 201,645.60, 278,254.44 and 116,768.16 is: 161,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.60 : 278,254.44 = 116,768.16 : x
  2. Step 2: Convert to fraction form
    201,645.60/278,254.44 = 116,768.16/x
  3. Step 3: Cross multiply
    201,645.60x = 278,254.44 × 116,768.16
  4. Step 4: Simplify right side
    201,645.60x = 32,491,258,970.63
  5. Step 5: Solve for x
    x = 32,491,258,970.63/201,645.60
  6. Step 6: Final answer
    x = 161,130.51

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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.