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Finding the Fourth Proportional to 102,170.60, 153,357.02 and 83,670.12

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Solution

The fourth proportional to 102,170.60, 153,357.02 and 83,670.12 is: 125,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,170.60 : 153,357.02 = 83,670.12 : x
  2. Step 2: Convert to fraction form
    102,170.60/153,357.02 = 83,670.12/x
  3. Step 3: Cross multiply
    102,170.60x = 153,357.02 × 83,670.12
  4. Step 4: Simplify right side
    102,170.60x = 12,831,400,266.24
  5. Step 5: Solve for x
    x = 12,831,400,266.24/102,170.60
  6. Step 6: Final answer
    x = 125,587.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.