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Finding the Fourth Proportional to 102,055.71, 140,827.35 and 59,028.30

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Solution

The fourth proportional to 102,055.71, 140,827.35 and 59,028.30 is: 81,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,055.71 : 140,827.35 = 59,028.30 : x
  2. Step 2: Convert to fraction form
    102,055.71/140,827.35 = 59,028.30/x
  3. Step 3: Cross multiply
    102,055.71x = 140,827.35 × 59,028.30
  4. Step 4: Simplify right side
    102,055.71x = 8,312,799,064.01
  5. Step 5: Solve for x
    x = 8,312,799,064.01/102,055.71
  6. Step 6: Final answer
    x = 81,453.54

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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.