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Finding the Fourth Proportional to 153,643.43, 230,569.34 and 53,804.45

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Solution

The fourth proportional to 153,643.43, 230,569.34 and 53,804.45 is: 80,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,643.43 : 230,569.34 = 53,804.45 : x
  2. Step 2: Convert to fraction form
    153,643.43/230,569.34 = 53,804.45/x
  3. Step 3: Cross multiply
    153,643.43x = 230,569.34 × 53,804.45
  4. Step 4: Simplify right side
    153,643.43x = 12,405,656,832.96
  5. Step 5: Solve for x
    x = 12,405,656,832.96/153,643.43
  6. Step 6: Final answer
    x = 80,743.16

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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.