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Finding the Fourth Proportional to 191,486.14, 287,271.84 and 58,376.74

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Solution

The fourth proportional to 191,486.14, 287,271.84 and 58,376.74 is: 87,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,486.14 : 287,271.84 = 58,376.74 : x
  2. Step 2: Convert to fraction form
    191,486.14/287,271.84 = 58,376.74/x
  3. Step 3: Cross multiply
    191,486.14x = 287,271.84 × 58,376.74
  4. Step 4: Simplify right side
    191,486.14x = 16,769,993,513.00
  5. Step 5: Solve for x
    x = 16,769,993,513.00/191,486.14
  6. Step 6: Final answer
    x = 87,578.11

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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.