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Finding the Fourth Proportional to 459,963.50, 689,896.71 and 123,038.16

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Solution

The fourth proportional to 459,963.50, 689,896.71 and 123,038.16 is: 184,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,963.50 : 689,896.71 = 123,038.16 : x
  2. Step 2: Convert to fraction form
    459,963.50/689,896.71 = 123,038.16/x
  3. Step 3: Cross multiply
    459,963.50x = 689,896.71 × 123,038.16
  4. Step 4: Simplify right side
    459,963.50x = 84,883,619,201.34
  5. Step 5: Solve for x
    x = 84,883,619,201.34/459,963.50
  6. Step 6: Final answer
    x = 184,544.25

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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.