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Finding the Fourth Proportional to 102,142.72, 153,357.65 and 52,258.60

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Solution

The fourth proportional to 102,142.72, 153,357.65 and 52,258.60 is: 78,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.72 : 153,357.65 = 52,258.60 : x
  2. Step 2: Convert to fraction form
    102,142.72/153,357.65 = 52,258.60/x
  3. Step 3: Cross multiply
    102,142.72x = 153,357.65 × 52,258.60
  4. Step 4: Simplify right side
    102,142.72x = 8,014,255,060.21
  5. Step 5: Solve for x
    x = 8,014,255,060.21/102,142.72
  6. Step 6: Final answer
    x = 78,461.35

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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.