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Finding the Fourth Proportional to 231,806.70, 348,038.10 and 181,943.10

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Solution

The fourth proportional to 231,806.70, 348,038.10 and 181,943.10 is: 273,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,806.70 : 348,038.10 = 181,943.10 : x
  2. Step 2: Convert to fraction form
    231,806.70/348,038.10 = 181,943.10/x
  3. Step 3: Cross multiply
    231,806.70x = 348,038.10 × 181,943.10
  4. Step 4: Simplify right side
    231,806.70x = 63,323,130,832.11
  5. Step 5: Solve for x
    x = 63,323,130,832.11/231,806.70
  6. Step 6: Final answer
    x = 273,172.13

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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.