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Finding the Fourth Proportional to 191,384.16, 287,099.73 and 65,045.22

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Solution

The fourth proportional to 191,384.16, 287,099.73 and 65,045.22 is: 97,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,384.16 : 287,099.73 = 65,045.22 : x
  2. Step 2: Convert to fraction form
    191,384.16/287,099.73 = 65,045.22/x
  3. Step 3: Cross multiply
    191,384.16x = 287,099.73 × 65,045.22
  4. Step 4: Simplify right side
    191,384.16x = 18,674,465,099.79
  5. Step 5: Solve for x
    x = 18,674,465,099.79/191,384.16
  6. Step 6: Final answer
    x = 97,575.81

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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.