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Finding the Fourth Proportional to 102,598.16, 141,644.34 and 78,207.63

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Solution

The fourth proportional to 102,598.16, 141,644.34 and 78,207.63 is: 107,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,598.16 : 141,644.34 = 78,207.63 : x
  2. Step 2: Convert to fraction form
    102,598.16/141,644.34 = 78,207.63/x
  3. Step 3: Cross multiply
    102,598.16x = 141,644.34 × 78,207.63
  4. Step 4: Simplify right side
    102,598.16x = 11,077,668,134.31
  5. Step 5: Solve for x
    x = 11,077,668,134.31/102,598.16
  6. Step 6: Final answer
    x = 107,971.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.