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Finding the Fourth Proportional to 191,104.10, 286,656.15 and 57,977.90

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Solution

The fourth proportional to 191,104.10, 286,656.15 and 57,977.90 is: 86,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,104.10 : 286,656.15 = 57,977.90 : x
  2. Step 2: Convert to fraction form
    191,104.10/286,656.15 = 57,977.90/x
  3. Step 3: Cross multiply
    191,104.10x = 286,656.15 × 57,977.90
  4. Step 4: Simplify right side
    191,104.10x = 16,619,721,599.09
  5. Step 5: Solve for x
    x = 16,619,721,599.09/191,104.10
  6. Step 6: Final answer
    x = 86,966.85

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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.