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Finding the Fourth Proportional to 191,728.95, 287,492.69 and 85,066.69

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Solution

The fourth proportional to 191,728.95, 287,492.69 and 85,066.69 is: 127,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,728.95 : 287,492.69 = 85,066.69 : x
  2. Step 2: Convert to fraction form
    191,728.95/287,492.69 = 85,066.69/x
  3. Step 3: Cross multiply
    191,728.95x = 287,492.69 × 85,066.69
  4. Step 4: Simplify right side
    191,728.95x = 24,456,051,537.50
  5. Step 5: Solve for x
    x = 24,456,051,537.50/191,728.95
  6. Step 6: Final answer
    x = 127,555.34

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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.