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Finding the Fourth Proportional to 191,835.64, 287,713.14 and 51,595.48

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Solution

The fourth proportional to 191,835.64, 287,713.14 and 51,595.48 is: 77,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,835.64 : 287,713.14 = 51,595.48 : x
  2. Step 2: Convert to fraction form
    191,835.64/287,713.14 = 51,595.48/x
  3. Step 3: Cross multiply
    191,835.64x = 287,713.14 × 51,595.48
  4. Step 4: Simplify right side
    191,835.64x = 14,844,697,560.61
  5. Step 5: Solve for x
    x = 14,844,697,560.61/191,835.64
  6. Step 6: Final answer
    x = 77,382.38

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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.