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Finding the Fourth Proportional to 191,851.35, 287,803.26 and 65,457.66

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Solution

The fourth proportional to 191,851.35, 287,803.26 and 65,457.66 is: 98,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,851.35 : 287,803.26 = 65,457.66 : x
  2. Step 2: Convert to fraction form
    191,851.35/287,803.26 = 65,457.66/x
  3. Step 3: Cross multiply
    191,851.35x = 287,803.26 × 65,457.66
  4. Step 4: Simplify right side
    191,851.35x = 18,838,927,939.97
  5. Step 5: Solve for x
    x = 18,838,927,939.97/191,851.35
  6. Step 6: Final answer
    x = 98,195.44

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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.