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Finding the Fourth Proportional to 102,409.16, 153,683.42 and 62,845.52

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Solution

The fourth proportional to 102,409.16, 153,683.42 and 62,845.52 is: 94,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.16 : 153,683.42 = 62,845.52 : x
  2. Step 2: Convert to fraction form
    102,409.16/153,683.42 = 62,845.52/x
  3. Step 3: Cross multiply
    102,409.16x = 153,683.42 × 62,845.52
  4. Step 4: Simplify right side
    102,409.16x = 9,658,313,362.63
  5. Step 5: Solve for x
    x = 9,658,313,362.63/102,409.16
  6. Step 6: Final answer
    x = 94,311.03

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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.