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Finding the Fourth Proportional to 233,457.06, 322,172.07 and 132,855.06

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Solution

The fourth proportional to 233,457.06, 322,172.07 and 132,855.06 is: 183,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,457.06 : 322,172.07 = 132,855.06 : x
  2. Step 2: Convert to fraction form
    233,457.06/322,172.07 = 132,855.06/x
  3. Step 3: Cross multiply
    233,457.06x = 322,172.07 × 132,855.06
  4. Step 4: Simplify right side
    233,457.06x = 42,802,189,690.17
  5. Step 5: Solve for x
    x = 42,802,189,690.17/233,457.06
  6. Step 6: Final answer
    x = 183,340.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.