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Finding the Fourth Proportional to 96,258.40, 144,214.80 and 85,199.20

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Solution

The fourth proportional to 96,258.40, 144,214.80 and 85,199.20 is: 127,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,258.40 : 144,214.80 = 85,199.20 : x
  2. Step 2: Convert to fraction form
    96,258.40/144,214.80 = 85,199.20/x
  3. Step 3: Cross multiply
    96,258.40x = 144,214.80 × 85,199.20
  4. Step 4: Simplify right side
    96,258.40x = 12,286,985,588.16
  5. Step 5: Solve for x
    x = 12,286,985,588.16/96,258.40
  6. Step 6: Final answer
    x = 127,645.85

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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.