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Finding the Fourth Proportional to 459,754.80, 689,658.12 and 139,917.08

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Solution

The fourth proportional to 459,754.80, 689,658.12 and 139,917.08 is: 209,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,754.80 : 689,658.12 = 139,917.08 : x
  2. Step 2: Convert to fraction form
    459,754.80/689,658.12 = 139,917.08/x
  3. Step 3: Cross multiply
    459,754.80x = 689,658.12 × 139,917.08
  4. Step 4: Simplify right side
    459,754.80x = 96,494,946,900.40
  5. Step 5: Solve for x
    x = 96,494,946,900.40/459,754.80
  6. Step 6: Final answer
    x = 209,883.50

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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.