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Finding the Fourth Proportional to 233,776.60, 322,462.10 and 162,130.48

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Solution

The fourth proportional to 233,776.60, 322,462.10 and 162,130.48 is: 223,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,776.60 : 322,462.10 = 162,130.48 : x
  2. Step 2: Convert to fraction form
    233,776.60/322,462.10 = 162,130.48/x
  3. Step 3: Cross multiply
    233,776.60x = 322,462.10 × 162,130.48
  4. Step 4: Simplify right side
    233,776.60x = 52,280,934,653.98
  5. Step 5: Solve for x
    x = 52,280,934,653.98/233,776.60
  6. Step 6: Final answer
    x = 223,636.31

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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.