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Finding the Fourth Proportional to 202,663.48, 304,056.74 and 143,613.40

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Solution

The fourth proportional to 202,663.48, 304,056.74 and 143,613.40 is: 215,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,663.48 : 304,056.74 = 143,613.40 : x
  2. Step 2: Convert to fraction form
    202,663.48/304,056.74 = 143,613.40/x
  3. Step 3: Cross multiply
    202,663.48x = 304,056.74 × 143,613.40
  4. Step 4: Simplify right side
    202,663.48x = 43,666,622,224.32
  5. Step 5: Solve for x
    x = 43,666,622,224.32/202,663.48
  6. Step 6: Final answer
    x = 215,463.69

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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.