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Finding the Fourth Proportional to 191,814.96, 287,521.79 and 65,410.91

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Solution

The fourth proportional to 191,814.96, 287,521.79 and 65,410.91 is: 98,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,814.96 : 287,521.79 = 65,410.91 : x
  2. Step 2: Convert to fraction form
    191,814.96/287,521.79 = 65,410.91/x
  3. Step 3: Cross multiply
    191,814.96x = 287,521.79 × 65,410.91
  4. Step 4: Simplify right side
    191,814.96x = 18,807,060,164.07
  5. Step 5: Solve for x
    x = 18,807,060,164.07/191,814.96
  6. Step 6: Final answer
    x = 98,047.93

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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.