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Finding the Fourth Proportional to 233,457.13, 349,624.54 and 133,314.13

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Solution

The fourth proportional to 233,457.13, 349,624.54 and 133,314.13 is: 199,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,457.13 : 349,624.54 = 133,314.13 : x
  2. Step 2: Convert to fraction form
    233,457.13/349,624.54 = 133,314.13/x
  3. Step 3: Cross multiply
    233,457.13x = 349,624.54 × 133,314.13
  4. Step 4: Simplify right side
    233,457.13x = 46,609,888,962.06
  5. Step 5: Solve for x
    x = 46,609,888,962.06/233,457.13
  6. Step 6: Final answer
    x = 199,650.75

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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.