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Finding the Fourth Proportional to 169,425.60, 233,769.60 and 102,356.16

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Solution

The fourth proportional to 169,425.60, 233,769.60 and 102,356.16 is: 141,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,425.60 : 233,769.60 = 102,356.16 : x
  2. Step 2: Convert to fraction form
    169,425.60/233,769.60 = 102,356.16/x
  3. Step 3: Cross multiply
    169,425.60x = 233,769.60 × 102,356.16
  4. Step 4: Simplify right side
    169,425.60x = 23,927,758,580.74
  5. Step 5: Solve for x
    x = 23,927,758,580.74/169,425.60
  6. Step 6: Final answer
    x = 141,228.71

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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.