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Finding the Fourth Proportional to 102,201.60, 153,010.80 and 62,835.60

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Solution

The fourth proportional to 102,201.60, 153,010.80 and 62,835.60 is: 94,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,201.60 : 153,010.80 = 62,835.60 : x
  2. Step 2: Convert to fraction form
    102,201.60/153,010.80 = 62,835.60/x
  3. Step 3: Cross multiply
    102,201.60x = 153,010.80 × 62,835.60
  4. Step 4: Simplify right side
    102,201.60x = 9,614,525,424.48
  5. Step 5: Solve for x
    x = 9,614,525,424.48/102,201.60
  6. Step 6: Final answer
    x = 94,074.12

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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.