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Finding the Fourth Proportional to 191,710.94, 287,564.72 and 49,544.06

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Solution

The fourth proportional to 191,710.94, 287,564.72 and 49,544.06 is: 74,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,710.94 : 287,564.72 = 49,544.06 : x
  2. Step 2: Convert to fraction form
    191,710.94/287,564.72 = 49,544.06/x
  3. Step 3: Cross multiply
    191,710.94x = 287,564.72 × 49,544.06
  4. Step 4: Simplify right side
    191,710.94x = 14,247,122,056.02
  5. Step 5: Solve for x
    x = 14,247,122,056.02/191,710.94
  6. Step 6: Final answer
    x = 74,315.65

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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.