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Finding the Fourth Proportional to 102,094.34, 153,043.07 and 52,197.93

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Solution

The fourth proportional to 102,094.34, 153,043.07 and 52,197.93 is: 78,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.34 : 153,043.07 = 52,197.93 : x
  2. Step 2: Convert to fraction form
    102,094.34/153,043.07 = 52,197.93/x
  3. Step 3: Cross multiply
    102,094.34x = 153,043.07 × 52,197.93
  4. Step 4: Simplify right side
    102,094.34x = 7,988,531,193.86
  5. Step 5: Solve for x
    x = 7,988,531,193.86/102,094.34
  6. Step 6: Final answer
    x = 78,246.57

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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.