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Finding the Fourth Proportional to 459,858.75, 689,827.01 and 127,434.75

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Solution

The fourth proportional to 459,858.75, 689,827.01 and 127,434.75 is: 191,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,858.75 : 689,827.01 = 127,434.75 : x
  2. Step 2: Convert to fraction form
    459,858.75/689,827.01 = 127,434.75/x
  3. Step 3: Cross multiply
    459,858.75x = 689,827.01 × 127,434.75
  4. Step 4: Simplify right side
    459,858.75x = 87,907,931,925.42
  5. Step 5: Solve for x
    x = 87,907,931,925.42/459,858.75
  6. Step 6: Final answer
    x = 191,162.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.