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Finding the Fourth Proportional to 223,567.48, 308,366.90 and 151,822.96

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Solution

The fourth proportional to 223,567.48, 308,366.90 and 151,822.96 is: 209,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,567.48 : 308,366.90 = 151,822.96 : x
  2. Step 2: Convert to fraction form
    223,567.48/308,366.90 = 151,822.96/x
  3. Step 3: Cross multiply
    223,567.48x = 308,366.90 × 151,822.96
  4. Step 4: Simplify right side
    223,567.48x = 46,817,175,524.02
  5. Step 5: Solve for x
    x = 46,817,175,524.02/223,567.48
  6. Step 6: Final answer
    x = 209,409.60

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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.