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Finding the Fourth Proportional to 102,659.42, 141,666 and 64,439.50

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Solution

The fourth proportional to 102,659.42, 141,666 and 64,439.50 is: 88,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,659.42 : 141,666 = 64,439.50 : x
  2. Step 2: Convert to fraction form
    102,659.42/141,666 = 64,439.50/x
  3. Step 3: Cross multiply
    102,659.42x = 141,666 × 64,439.50
  4. Step 4: Simplify right side
    102,659.42x = 9,128,886,207
  5. Step 5: Solve for x
    x = 9,128,886,207/102,659.42
  6. Step 6: Final answer
    x = 88,924.00

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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.