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Finding the Fourth Proportional to 102,814.65, 141,884.60 and 59,804.46

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Solution

The fourth proportional to 102,814.65, 141,884.60 and 59,804.46 is: 82,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814.65 : 141,884.60 = 59,804.46 : x
  2. Step 2: Convert to fraction form
    102,814.65/141,884.60 = 59,804.46/x
  3. Step 3: Cross multiply
    102,814.65x = 141,884.60 × 59,804.46
  4. Step 4: Simplify right side
    102,814.65x = 8,485,331,586.29
  5. Step 5: Solve for x
    x = 8,485,331,586.29/102,814.65
  6. Step 6: Final answer
    x = 82,530.37

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1.5x scale

Why These Related Problems?

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