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Finding the Fourth Proportional to 191,080.96, 286,647.36 and 66,405.76

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Solution

The fourth proportional to 191,080.96, 286,647.36 and 66,405.76 is: 99,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,080.96 : 286,647.36 = 66,405.76 : x
  2. Step 2: Convert to fraction form
    191,080.96/286,647.36 = 66,405.76/x
  3. Step 3: Cross multiply
    191,080.96x = 286,647.36 × 66,405.76
  4. Step 4: Simplify right side
    191,080.96x = 19,035,035,792.79
  5. Step 5: Solve for x
    x = 19,035,035,792.79/191,080.96
  6. Step 6: Final answer
    x = 99,617.65

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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.