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Finding the Fourth Proportional to 102,313.64, 141,125.22 and 64,006.72

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Solution

The fourth proportional to 102,313.64, 141,125.22 and 64,006.72 is: 88,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,313.64 : 141,125.22 = 64,006.72 : x
  2. Step 2: Convert to fraction form
    102,313.64/141,125.22 = 64,006.72/x
  3. Step 3: Cross multiply
    102,313.64x = 141,125.22 × 64,006.72
  4. Step 4: Simplify right side
    102,313.64x = 9,032,962,441.48
  5. Step 5: Solve for x
    x = 9,032,962,441.48/102,313.64
  6. Step 6: Final answer
    x = 88,286.98

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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.